Chers finalistes, préparez-vous pour le grand jour avec nos contenus !

Des items de toutes les options taillés sur mesure pour que vous prépariez mieux vos épreuves

Start learning
L'addition des fractions -Dénominateurs différents
Matériel didactique : Tableau noir,craies blanches
Objectif opérationnel : Au terme de cette séquence didactique, chacun des apprenants devra être capable d'additionner deux ou plusieurs fractions ayant des dénominateurs différents.

Rappel

Effectue et simplifie s'il y a lieu

Rappel

Effectue et simplifie s'il y a lieu

Motivation

Mise d'un exercice au T.N

Comment sont ces fractions?

Motivation

Ces fractions ont des dénominateurs différents.

Annonce du sujet

Quelle leçon allons-nous voir aujourd'hui?

Annonce du sujet

Nous allons voir l'addition des fractions : Dénominateurs différents.

Observation

Observation

Exercices d'essai

Exercices d'essai

Que fait-on pour additionner deux ou plusieurs fractions ayant des dénominateurs différents?

Pour additionner deux ou plusieurs fractions ayant des dénominateurs différents, on réduit les fractions au même dénominateur avant d'effectuer.

8.1.28PHP Version133msRequest Duration6MBMemory UsageGET lessons/{id}/{slug}Route
    • Booting (33.77ms)
    • Application (99.06ms)
    • 1 x Application (74.53%)
      99.06ms
      1 x Booting (25.41%)
      33.77ms
      7 templates were rendered
      • public.lessons.show (resources/views/public/lessons/show.blade.php)2bladefile
        Params
        0
        lesson
        1
        lessons
      • components.banner-page (resources/views/components/banner-page.blade.php)7bladefile
        Params
        0
        property
        1
        firstTitle
        2
        secondTitle
        3
        src
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.ad-card-lesson-long (resources/views/components/ad-card-lesson-long.blade.php)7bladefile
        Params
        0
        summary
        1
        title
        2
        actionLink
        3
        actionText
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.button-link (resources/views/components/button-link.blade.php)6bladefile
        Params
        0
        class
        1
        title
        2
        href
        3
        attributes
        4
        slot
        5
        __laravel_slots
      • layouts.public (resources/views/layouts/public.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      • layouts.include.public.header (resources/views/layouts/include/public/header.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      • layouts.include.public.footer (resources/views/layouts/include/public/footer.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      uri
      GET lessons/{id}/{slug}
      middleware
      web
      controller
      App\Http\Controllers\Public\LessonController@show
      as
      public.lesson.show
      namespace
      prefix
      /lessons
      where
      file
      app/Http/Controllers/Public/LessonController.php:86-138
      40 statements were executed54.02ms
      • select * from `oldt_posts` where (`id` = '1905' and `slug` = 'laddition-des-fractions-denominateurs-differents') and exists (select * from `oldt_material_sheets` where `oldt_posts`.`material_sheet_id` = `oldt_material_sheets`.`id`) limit 1
        1.79ms/app/Http/Controllers/Public/LessonController.php:92schoolap
        Metadata
        Bindings
        • 0. 1905
        • 1. laddition-des-fractions-denominateurs-differents
        Backtrace
        • 15. /app/Http/Controllers/Public/LessonController.php:92
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `lessons` where `lessons`.`id` = '1905' and `lessons`.`deleted_at` is null limit 1
        500μs/app/Repositories/LessonRepository.php:41schoolap
        Metadata
        Bindings
        • 0. 1905
        Backtrace
        • 19. /app/Repositories/LessonRepository.php:41
        • 20. /app/Http/Controllers/Public/LessonController.php:95
        • 21. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `lessons` where `lessons`.`deleted_at` is null order by RAND() limit 4
        27.29ms/app/Http/Controllers/Public/LessonController.php:96schoolap
        Metadata
        Backtrace
        • 14. /app/Http/Controllers/Public/LessonController.php:96
        • 15. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • update `lessons` set `count_view` = `count_view` + 1, `lessons`.`updated_at` = '2025-05-10 12:52:50' where `id` = 1905 and `lessons`.`deleted_at` is null
        4.32ms/app/Http/Controllers/Public/LessonController.php:98schoolap
        Metadata
        Bindings
        • 0. 2025-05-10 12:52:50
        • 1. 1905
        Backtrace
        • 16. /app/Http/Controllers/Public/LessonController.php:98
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `chapters` where `chapters`.`id` = 548 and `chapters`.`deleted_at` is null limit 1
        800μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 548
        Backtrace
        • 20. view::public.lessons.show:10
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `course_classes` where `course_classes`.`id` = 213 and `course_classes`.`deleted_at` is null limit 1
        660μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 213
        Backtrace
        • 20. view::public.lessons.show:10
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `classes` where `classes`.`id` in (44) and `classes`.`deleted_at` is null
        450μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 25. view::public.lessons.show:10
        • 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 30. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `cycle_levels` where `cycle_levels`.`id` in (65)
        290μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 30. view::public.lessons.show:10
        • 32. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 35. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `cycles` where `cycles`.`id` in (10)
        210μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 35. view::public.lessons.show:10
        • 37. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 38. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 39. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 40. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `levels` where `levels`.`id` in (29)
        330μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 35. view::public.lessons.show:10
        • 37. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 38. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 39. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 40. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `courses` where `courses`.`id` in (122) and `courses`.`deleted_at` is null
        320μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 25. view::public.lessons.show:10
        • 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 30. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_sections` where `lesson_sections`.`lesson_id` = 1905 and `lesson_sections`.`lesson_id` is not null
        780μsview::public.lessons.show:116schoolap
        Metadata
        Bindings
        • 0. 1905
        Backtrace
        • 19. view::public.lessons.show:116
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17285 and `lesson_contents`.`deleted_at` is null limit 1
        610μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17285
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17068 and `content_texts`.`deleted_at` is null limit 1
        490μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17068
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17286 and `lesson_contents`.`deleted_at` is null limit 1
        400μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17286
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17069 and `content_texts`.`deleted_at` is null limit 1
        420μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17069
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17287 and `lesson_contents`.`deleted_at` is null limit 1
        1.46msview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17287
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17070 and `content_texts`.`deleted_at` is null limit 1
        2.18msview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17070
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17288 and `lesson_contents`.`deleted_at` is null limit 1
        800μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17288
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17071 and `content_texts`.`deleted_at` is null limit 1
        580μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17071
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17289 and `lesson_contents`.`deleted_at` is null limit 1
        670μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17289
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17072 and `content_texts`.`deleted_at` is null limit 1
        720μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17072
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17290 and `lesson_contents`.`deleted_at` is null limit 1
        430μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17290
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17073 and `content_texts`.`deleted_at` is null limit 1
        370μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17073
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17291 and `lesson_contents`.`deleted_at` is null limit 1
        330μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17291
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17074 and `content_texts`.`deleted_at` is null limit 1
        320μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17074
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17292 and `lesson_contents`.`deleted_at` is null limit 1
        470μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17292
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17075 and `content_texts`.`deleted_at` is null limit 1
        380μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17075
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17293 and `lesson_contents`.`deleted_at` is null limit 1
        720μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17293
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17076 and `content_texts`.`deleted_at` is null limit 1
        470μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17076
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17294 and `lesson_contents`.`deleted_at` is null limit 1
        400μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17294
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17077 and `content_texts`.`deleted_at` is null limit 1
        430μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17077
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17295 and `lesson_contents`.`deleted_at` is null limit 1
        600μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17295
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17078 and `content_texts`.`deleted_at` is null limit 1
        370μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17078
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17296 and `lesson_contents`.`deleted_at` is null limit 1
        670μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17296
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17079 and `content_texts`.`deleted_at` is null limit 1
        460μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17079
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17297 and `lesson_contents`.`deleted_at` is null limit 1
        370μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17297
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17080 and `content_texts`.`deleted_at` is null limit 1
        280μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17080
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17298 and `lesson_contents`.`deleted_at` is null limit 1
        540μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17298
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17081 and `content_texts`.`deleted_at` is null limit 1
        340μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17081
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      App\Models\ContentText
      14
      App\Models\Lesson\LessonContent
      14
      App\Models\Lesson\LessonSection
      14
      App\Models\Course\Course
      1
      App\Models\Level
      1
      App\Models\Cycle
      1
      App\Models\CycleLevel
      1
      App\Models\Classe
      1
      App\Models\Course\CourseClass
      1
      App\Models\Chapter
      1
      App\Models\Lesson\Lesson
      5
        _token
        NuCsCLHvf1wJhi0tEVztqubNOniJfwIFAtjZKuBl
        applocale
        en
        _previous
        array:1 [ "url" => "https://s8.schoolap.com/lessons/1905/laddition-des-fractions-denominateurs-dif...
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /lessons/1905/laddition-des-fractions-denominateurs-differents
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:17 [ "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "connection" => array:1 [ 0 => "keep-alive" ] "host" => array:1 [ 0 => "s8.schoolap.com" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
        request_server
        0 of 0
        array:41 [ "USER" => "www-data" "HOME" => "/var/www" "HTTP_ACCEPT_ENCODING" => "gzip, deflate, br, zstd" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_CONNECTION" => "keep-alive" "HTTP_HOST" => "s8.schoolap.com" "REDIRECT_STATUS" => "200" "SERVER_NAME" => "s8.schoolap.com" "SERVER_PORT" => "443" "SERVER_ADDR" => "188.166.147.66" "REMOTE_PORT" => "10800" "REMOTE_ADDR" => "18.216.16.236" "SERVER_SOFTWARE" => "nginx/1.18.0" "GATEWAY_INTERFACE" => "CGI/1.1" "HTTPS" => "on" "REQUEST_SCHEME" => "https" "SERVER_PROTOCOL" => "HTTP/1.1" "DOCUMENT_ROOT" => "/var/www/s8.schoolap.com/public" "DOCUMENT_URI" => "/index.php" "REQUEST_URI" => "/lessons/1905/laddition-des-fractions-denominateurs-differents" "SCRIPT_NAME" => "/index.php" "CONTENT_LENGTH" => "" "CONTENT_TYPE" => "" "REQUEST_METHOD" => "GET" "QUERY_STRING" => "" "SCRIPT_FILENAME" => "/var/www/s8.schoolap.com/public/index.php" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/index.php" "REQUEST_TIME_FLOAT" => 1746881570.5557 "REQUEST_TIME" => 1746881570 ]
        request_cookies
        []
        
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Sat, 10 May 2025 12:52:50 GMT" ] "set-cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6InRSdWpKSWJTTkJBYXVJYndVTU1IRkE9PSIsInZhbHVlIjoiK3owOCtxNUJWdGRpR202bjNKUmZqdGZMZGhTeCtnNFllSG9idWN1cS9Vb0F1ZU9VQ2YyN3k4WlhzUU8zdkhVUiIsIm1hYyI6Ijc5OGU0NmYzMWNjNWNhYTgxMWQ5MTg4ZjQ2ZjIyYzk0YTY5ZmRkNGJhOWUwNzgxM2NkMzA3Zjg5MTJlOTkwYWYiLCJ0YWciOiIifQ%3D%3D; expires=Sat, 17 May 2025 11:32:50 GMT; Max-Age=600000; path=/; httponly; samesite=laxlang_schoolap=eyJpdiI6InRSdWpKSWJTTkJBYXVJYndVTU1IRkE9PSIsInZhbHVlIjoiK3owOCtxNUJWdGRpR202bjNKUmZqdGZMZGhTeCtnNFllSG9idWN1cS9Vb0F1ZU9VQ2YyN3k4WlhzUU8zdkhVUiIsIm" 1 => "XSRF-TOKEN=eyJpdiI6InVIaUlMekJCQytqcnYyemJjdTNpM3c9PSIsInZhbHVlIjoiMlE4MXNEQzFwcUVVcWFHbTZrM1VGdUxGSUZibjlVS3pNSUpBYUVUaXRISW9iOW94cWVPU3U2SGF4d2NiUDVYTGpQekcyRGdkTllPTk9hS0ttN2UrNlkybFJEbXBiUTgrYWF3UlRpUU9CcitrbGlOTDh1cWZEWE8wNWIyT1RRalgiLCJtYWMiOiIzZjZhYTY2M2VkYjhkMTg2YmQ5ZjJlYmE5ZDQ2NjhjMWU2MzZmYTM2YjdkMmM2MWE1ZDg1YzQ2Nzk5Y2FlYTdiIiwidGFnIjoiIn0%3D; expires=Sat, 10 May 2025 14:52:50 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6InVIaUlMekJCQytqcnYyemJjdTNpM3c9PSIsInZhbHVlIjoiMlE4MXNEQzFwcUVVcWFHbTZrM1VGdUxGSUZibjlVS3pNSUpBYUVUaXRISW9iOW94cWVPU3U2SGF4d2NiUDVYTGpQekcyR" 2 => "schoolap_session=eyJpdiI6Ii9HY3dRMWhDSFpFc3NjYnp3N3BLS2c9PSIsInZhbHVlIjoiUHJFNDZ4WW9DSEUrbVVONnNZWEFhTUFiYWwvZmVZdk5mak5IdDQxNUo2U3FQMk1CbWRrUEZNcTlDbmZRdGUyd0ZGL1kxMUY0OHloUml4MFpyOURmYU1vYnRLWjVXa3BReldMalg1RnprUk93dWpLUXQwYmpmWDZnZVk2NVcvbFkiLCJtYWMiOiI1MTlhNDI5ZWQzNzNjNmRkY2UwNDRjNGJjMmQwZGRiNGJiODc2NzZlNTgxZjExYTU2ZGM2M2U1MWJiNzM0YmM4IiwidGFnIjoiIn0%3D; expires=Sat, 10 May 2025 14:52:50 GMT; Max-Age=7200; path=/; httponly; samesite=laxschoolap_session=eyJpdiI6Ii9HY3dRMWhDSFpFc3NjYnp3N3BLS2c9PSIsInZhbHVlIjoiUHJFNDZ4WW9DSEUrbVVONnNZWEFhTUFiYWwvZmVZdk5mak5IdDQxNUo2U3FQMk1CbWRrUEZNcTlDbmZRdGUyd0Z" ] "Set-Cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6InRSdWpKSWJTTkJBYXVJYndVTU1IRkE9PSIsInZhbHVlIjoiK3owOCtxNUJWdGRpR202bjNKUmZqdGZMZGhTeCtnNFllSG9idWN1cS9Vb0F1ZU9VQ2YyN3k4WlhzUU8zdkhVUiIsIm1hYyI6Ijc5OGU0NmYzMWNjNWNhYTgxMWQ5MTg4ZjQ2ZjIyYzk0YTY5ZmRkNGJhOWUwNzgxM2NkMzA3Zjg5MTJlOTkwYWYiLCJ0YWciOiIifQ%3D%3D; expires=Sat, 17-May-2025 11:32:50 GMT; path=/; httponlylang_schoolap=eyJpdiI6InRSdWpKSWJTTkJBYXVJYndVTU1IRkE9PSIsInZhbHVlIjoiK3owOCtxNUJWdGRpR202bjNKUmZqdGZMZGhTeCtnNFllSG9idWN1cS9Vb0F1ZU9VQ2YyN3k4WlhzUU8zdkhVUiIsIm" 1 => "XSRF-TOKEN=eyJpdiI6InVIaUlMekJCQytqcnYyemJjdTNpM3c9PSIsInZhbHVlIjoiMlE4MXNEQzFwcUVVcWFHbTZrM1VGdUxGSUZibjlVS3pNSUpBYUVUaXRISW9iOW94cWVPU3U2SGF4d2NiUDVYTGpQekcyRGdkTllPTk9hS0ttN2UrNlkybFJEbXBiUTgrYWF3UlRpUU9CcitrbGlOTDh1cWZEWE8wNWIyT1RRalgiLCJtYWMiOiIzZjZhYTY2M2VkYjhkMTg2YmQ5ZjJlYmE5ZDQ2NjhjMWU2MzZmYTM2YjdkMmM2MWE1ZDg1YzQ2Nzk5Y2FlYTdiIiwidGFnIjoiIn0%3D; expires=Sat, 10-May-2025 14:52:50 GMT; path=/XSRF-TOKEN=eyJpdiI6InVIaUlMekJCQytqcnYyemJjdTNpM3c9PSIsInZhbHVlIjoiMlE4MXNEQzFwcUVVcWFHbTZrM1VGdUxGSUZibjlVS3pNSUpBYUVUaXRISW9iOW94cWVPU3U2SGF4d2NiUDVYTGpQekcyR" 2 => "schoolap_session=eyJpdiI6Ii9HY3dRMWhDSFpFc3NjYnp3N3BLS2c9PSIsInZhbHVlIjoiUHJFNDZ4WW9DSEUrbVVONnNZWEFhTUFiYWwvZmVZdk5mak5IdDQxNUo2U3FQMk1CbWRrUEZNcTlDbmZRdGUyd0ZGL1kxMUY0OHloUml4MFpyOURmYU1vYnRLWjVXa3BReldMalg1RnprUk93dWpLUXQwYmpmWDZnZVk2NVcvbFkiLCJtYWMiOiI1MTlhNDI5ZWQzNzNjNmRkY2UwNDRjNGJjMmQwZGRiNGJiODc2NzZlNTgxZjExYTU2ZGM2M2U1MWJiNzM0YmM4IiwidGFnIjoiIn0%3D; expires=Sat, 10-May-2025 14:52:50 GMT; path=/; httponlyschoolap_session=eyJpdiI6Ii9HY3dRMWhDSFpFc3NjYnp3N3BLS2c9PSIsInZhbHVlIjoiUHJFNDZ4WW9DSEUrbVVONnNZWEFhTUFiYWwvZmVZdk5mak5IdDQxNUo2U3FQMk1CbWRrUEZNcTlDbmZRdGUyd0Z" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "NuCsCLHvf1wJhi0tEVztqubNOniJfwIFAtjZKuBl" "applocale" => "en" "_previous" => array:1 [ "url" => "https://s8.schoolap.com/lessons/1905/laddition-des-fractions-denominateurs-differents" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]