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Quotients of
Fractions
Dividing fractions
by fractions
How to Use This
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Learning
Outcomes
1.
Find the reciprocal
of a fraction
2.
Use multiplication
to divide two
fractions
3.
Solve division
word problems
How many
make up half
of a cake?
1/8 slices
Answer Key
How many
make up half of a cake?
There are of
1/8 in half of a cake.
1/8 slices
4 slices
1
7
9
2
2
9
7
1
7 or
Recall: Whole numbers can
be represented as a fraction
with a denominator of 1.
Getting The Reciprocal
We swap the numerator and the denominator of a fraction.
multiply
find the reciprocal
÷
3
4
2
3
×
3
4
3
2
9
8
1
1
8
= or
To find the quotient of two fractions, multiply the first
fraction by the reciprocal of the second. Then, multiply the
numerators and denominators.
Add a
section
header
Try to
solve this
one!
1
3
2
5
÷ = ?
Write your answer
here.
OPTIONAL:
Add a text quote, photo,
video, or visual model to
support your idea.
ANSWER KEY
or
3
1
2
5
× =
6
5
1
5
1
=
3
1
2
5
× or
6
5
1
5
1
Try to
solve this
one!
1
3
2
5
÷ = ?
equally shared in each
per divided by
Division Story Problems
Mila has 8/9 liters of juice
in a pitcher. She pours it
equally into smaller glasses
with a capacity of 2/9 liter
each. How many glasses
can she fill?
Division story problems usually
have the following keywords:
Division Story Problems
Mila has 8/9 liters of juice
in a pitcher. She pours it
equally into smaller glasses
with a capacity of 2/9 liter
each. How many glasses
can she fill?
ANSWER KEY
= = 4
2
9
8
9
÷
9
2
8
9
×
72
18
Mila can fill 4 glasses with juice.
Concept check
Find the reciprocal Multiply the fractions
The reciprocal of a whole number is a fraction of 1 over
the whole number.
The reciprocal of a fraction can be found by swapping
the numerator and denominator.
To divide one fraction by another, multiply the first
fraction by the reciprocal of the second.
How will finding the
reciprocal of a fraction help
in dividing fractions?
Explain your answers in our next session.
Show a
friend
Mathspace. “2.03 Divide fractions | Grade 6 Math | Common Core
6 - 2023 Edition.” Accessed 24 July 2023,
https://mathspace.co/textbooks/syllabuses/Syllabus-
1155/topics/Topic-21887/subtopics/Subtopic-
279725/?searchString=&activeTab=theory
Mathspace. “2.05 Problem solving with fractions | Grade 6 Math |
Common Core 6 - 2023 Edition.” Accessed 24 July 2023,
https://mathspace.co/textbooks/syllabuses/Syllabus-
1155/topics/Topic-21887/subtopics/Subtopic-
279727/?searchString=&activeTab=theory
References
Resource
Page
Use these design resources in your
Canva Presentation.
This presentation template
uses the following free fonts:
Titles: Bree Serif
Headers: Architects Daughter
Body Copy: Montserrat
You can find these fonts online
too. Happy designing!
Don't forget to delete this page
before presenting.
This presentation template is
free for everyone to use thanks
to the following:
SlidesCarnival for the presentation template
Pexels for the photos
Happy designing!

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Dividing Fractions by Fractions Lesson.pptx

  • 2. How to Use This Presentation Google Slides Click on the "Google Slides" button below this presentation preview. Make sure to sign in to your Google account. Click on "Make a copy." Start editing your presentation. Alternative: Click on the "Share" button on the top right corner in Canva and click on "More" at the bottom of the menu. Enter "Google Drive" in the search bar and click on the GDrive icon to add this design as a Google slide in your GDrive. PowerPoint Click on the "PowerPoint" button below this presentation preview. Start editing your presentation. Alternative: From Canva template file, Click on the "Share" button on the top right corner in Canva and click on "More" at the bottom of the menu. Enter "PowerPoint" in the search bar and click on the PowerPoint icon to download. Canva Click on the "Canva" button under this presentation preview. Start editing your presentation. You need to sign in to your Canva account.
  • 3. Learning Outcomes 1. Find the reciprocal of a fraction 2. Use multiplication to divide two fractions 3. Solve division word problems
  • 4. How many make up half of a cake? 1/8 slices
  • 5. Answer Key How many make up half of a cake? There are of 1/8 in half of a cake. 1/8 slices 4 slices
  • 6. 1 7 9 2 2 9 7 1 7 or Recall: Whole numbers can be represented as a fraction with a denominator of 1. Getting The Reciprocal We swap the numerator and the denominator of a fraction.
  • 7. multiply find the reciprocal ÷ 3 4 2 3 × 3 4 3 2 9 8 1 1 8 = or To find the quotient of two fractions, multiply the first fraction by the reciprocal of the second. Then, multiply the numerators and denominators.
  • 9. Try to solve this one! 1 3 2 5 ÷ = ? Write your answer here. OPTIONAL: Add a text quote, photo, video, or visual model to support your idea.
  • 10. ANSWER KEY or 3 1 2 5 × = 6 5 1 5 1 = 3 1 2 5 × or 6 5 1 5 1 Try to solve this one! 1 3 2 5 ÷ = ?
  • 11. equally shared in each per divided by Division Story Problems Mila has 8/9 liters of juice in a pitcher. She pours it equally into smaller glasses with a capacity of 2/9 liter each. How many glasses can she fill? Division story problems usually have the following keywords:
  • 12. Division Story Problems Mila has 8/9 liters of juice in a pitcher. She pours it equally into smaller glasses with a capacity of 2/9 liter each. How many glasses can she fill? ANSWER KEY = = 4 2 9 8 9 ÷ 9 2 8 9 × 72 18 Mila can fill 4 glasses with juice.
  • 13. Concept check Find the reciprocal Multiply the fractions The reciprocal of a whole number is a fraction of 1 over the whole number. The reciprocal of a fraction can be found by swapping the numerator and denominator. To divide one fraction by another, multiply the first fraction by the reciprocal of the second.
  • 14. How will finding the reciprocal of a fraction help in dividing fractions? Explain your answers in our next session. Show a friend
  • 15. Mathspace. “2.03 Divide fractions | Grade 6 Math | Common Core 6 - 2023 Edition.” Accessed 24 July 2023, https://mathspace.co/textbooks/syllabuses/Syllabus- 1155/topics/Topic-21887/subtopics/Subtopic- 279725/?searchString=&activeTab=theory Mathspace. “2.05 Problem solving with fractions | Grade 6 Math | Common Core 6 - 2023 Edition.” Accessed 24 July 2023, https://mathspace.co/textbooks/syllabuses/Syllabus- 1155/topics/Topic-21887/subtopics/Subtopic- 279727/?searchString=&activeTab=theory References
  • 16. Resource Page Use these design resources in your Canva Presentation. This presentation template uses the following free fonts: Titles: Bree Serif Headers: Architects Daughter Body Copy: Montserrat You can find these fonts online too. Happy designing! Don't forget to delete this page before presenting.
  • 17. This presentation template is free for everyone to use thanks to the following: SlidesCarnival for the presentation template Pexels for the photos Happy designing!