Multiplying and Dividing Fractions This session will be recorded for learning purposes. Learning purposes include: a lesson review for students who are absent, students who want to review for a test, etc. Mrs. Michele

Salego Mrs. Jennifer Owens 5th Grade Math Class of 2026! Use polling tools to answer!

3 Weekly USA Test Prep Homework: Please Log Into USATestPrep.com to complete last weeks math assignment Quarter 1 Review, and this weeks math assignment Multiplying and Dividing Fractions. The grade will go in your gradebook Due by FRIDAY 11-9-18 Week of: 11/5 to 11/9 Monday Skills Overview

1. Multiplying Fractions 2. Dividing Fractions Tuesday Small Group No School Wednesday Small Group Multiplying Fractions Thursday Small Group Dividing Fractions Copyright 2013 by Monica Yuskaitis 5 Learning

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Multiplying Fractions Overview Online Resources and Games for more practice Fractions Study Jams http://studyjams.scholastic.com/studyjams/jams/math/index.htm Multiply Fractions https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-multiply-fractions/e/multiplying_fracti ons_0.5 Divide Fractions

https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-dividing-fractions/e/dividing_fractions _1.5 Multiplying Fractions Review Lets review what to do!

Multiplying Fractions Review Watch how its done! https://www.khanacademy.org/math/arithmetic/fraction-arithmetic /arith-review-multiply-fractions/v/multiplying-a-fraction-by-a-fractio n https://www.khanacademy.org/math/arithmetic/fraction-arithmetic /arith-review-mult-mixed-num/v/multiplying-mixed-numbers Just Follow These Easy Steps!

Multiply the numerators and write down the answer as your new numerator. Multiply the denominators and write down the answer as your new denominator. Simplify.

Example 1 5 8 3 x 4 15 = 32

There are no common factors for 15 and 32, so this fraction cannot be simplified. Example 2 3 4 2

x 9 6 = 36 1 = 6 This fraction can be reduced. Divide the

numerator and denominator by the GCF, which is 6. Multiplying by a Whole Number If you want to multiply a fraction by a whole number, turn your whole number into a fraction by placing a 1 as the denominator. If your answer is improper, divide the bottom into the top.

4 20 80 16 x = = 5 5 1

Another Example 15 x 1 5 15 = = 1 6 6 2

15 and 6 have a GCF of 3. 2 25 4 1 Five halves is improper, so we divide the bottom into the top. 2

1 2 Simplifying Factors

Before you multiply, you can make the problem simpler. You can find the GCF of any numerator and denominator. Find a factor that equally divides the top number and bottom number, divide, and rewrite the problem. Example 1 5 x 81

16 2 7 5 14 In the second fraction, 8 and 16 have a GCF of 8. 8 8 = 1 and 16 8 = 2 Now, multiply with the simpler numbers. 5 x 1 = 5 and 7 x 2 = 14.

Example 2 12 5 x 12 6 3 Now, multiply: 5

18 The top of the first fraction and the bottom of the second fraction have a common factor. The GCF of 2 and 12 is 2. 2 2 = 1, and 12 2 = 6. Multiplying Fractions Practice Slide 1

2 3 4 Multiplying Fractions ANSWER Slide 1

3 2 4 BRAIN BREAK! When I turn the whiteboard permission onuse the pen or highlighter tool to write your first name on the board in your favorite color!

Dividing Fractions Overview Dividing Fractions Review: Remember KEEP CHANGE FLIP In order to divide fractions, you must actually multiply Step 1: Keep the first

fraction the same Step 2: Change the division to multiplication Step 3: Flip the second fraction to its reciprocal Then multiply and simplify Dividing Fractions Review Watch how its done! https://www.khanacademy.org/math/arithmetic/fraction-arithmetic

/arith-review-dividing-fractions/v/dividing-fractions-example https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fra ctions-topic/tcc-5th-fractions-as-division/v/fractions-as-division To Divide Fractions: Rewrite the first fraction. Change the division sign to a multiplication sign. Flip the second fraction upside down. Multiply.

Reciprocal When you flip the second fraction, you are writing that fractions reciprocal. 3 5 5 3

Example 1 1 3 1 2

Rewrite: 1 x 2 2 = 1 3 3 Example 2

4 5 4 9 Rewrite: 14

9 9 x 4 1 = 5 5 = 1 4

5 Example 3 12 3 5 1 Rewrite: 4 12 x 5 = 20 = 20 1

31 1 Example 4 1 6 2

1 Rewrite: 1 1 x 1 = 6 2 12

Dividing Fractions Practice Slide 1 3 2 Dividing Fractions ANSWER slide 1

3 2 Fraction Word Problem Practice (Breakout Room Exit Ticket) Fraction Word Problem Practice (Breakout Room Exit Ticket) ANSWERS Wednesday Small Group:

Multiplying Fractions This session will be recorded for learning purposes. Learning purposes include: a lesson review for students who are absent, students who want to review for a test, etc. Mrs. Michele Salego

Mrs. Jennifer Owens 5th Grade Math Class of 2026! Use polling tools to answer! Number Rock: Fractional Parts of a Whole

Number https://www.youtube.com/watch?v=NnyzzkIVNSQ Fractional Parts of Whole Numbers There are 20 students in the soccer club. At practice yesterday, 3/5 of the students scored a goal! How many students scored a goal at soccer club? Number Rock: Fractional Parts of a Whole Number https://www.youtube.com/watch?v=CcDGRLosAf0&t=11s

Multiplying Fractionshow do we do it? Practice with multiplying fractions Try it out type your answers in the chat box! Give us a green check so we know you are working! Cross Simplifying a helpful shortcut!

Small Group Practice: Name: 1. What is 3 /8 x 2 / 3 Week in Review Exit Ticket. Find the products of the fractions and whole numbers. Use your whiteboard tools to show your work

2. There are 50 stickers in a bag, 2/5 of the stickers are stars. How many star stickers are in the bag? Thursday Small Group: Dividing Fractions This session will be recorded for learning purposes. Learning purposes include: a

lesson review for students who are absent, students who want to review for a test, etc. Mrs. Michele Salego Mrs. Jennifer Owens 5th Grade Math

Class of 2026! Use polling tools to answer! Dividing a Fraction by a Fraction Basically, in order to divide fractions we will have to multiply. 1

2 1 4 = 1 x 4 2

1 Dividing a Fraction by a Fraction From this point, the problem can be solved in the way that you did for multiplying fractions. 2 1 x 4 =2 = 2 2

1 1 1 How to Divide Fractions Step 1 Convert whole numbers and mixed numbers to improper fractions. This example is from a prior slide. 1

3 3 4 = 1 1 4 How to Divide Fractions

Step 2 Keep your first fraction. 3 1 1 = 3 4 1

How to Divide Fractions Step 3 Change the operation to multiplication. 3 1

1 = 3 4 1 x How to Divide Fractions Step 4 Flip the second fraction.

3 1 1 = 3 1 4 x

4 1 How to Divide Fractions Step 5 Multiply the numerators, then multiple the denominators. 3 1

x 4 = 12 1 1 How to Divide Fractions Step 6 Simplify (if possible).

3 1 x 4 = 12 =12 1 1 Dividing Fractions

An Example 3 4 2 = 9 Since both are fractions, now you can Keep (1st fraction), Change

(the operation to multiplication), and Flip (2nd Fraction) Now, Multiply and Simplify 3 38 3 x 9 = 27 4 2 8 8)27 24

3 Dividing Fractions So, 3 4

2 = 3 3 8 9 Dividing Fractions Another Example 1 2 3

2 = 8 Convert to improper fraction Dividing Fractions 7

3 Keep Change 2 = 7 8 3 Flip x

8 2 Now, Multiply and Simplify 2 96 7 x 8 = 56 3

2 6 6)56 54 2 2 = 1 9 6 2 9 3 2 Dividing Fractions So,

1 2 3 2 = 1 9 3 8 Dividing Fractions

More Examples REVIEW: Dividing Fractions Conceptual Understanding Remember, when you divide two fractions that are between 0 and 1, the quotient is going to be larger than at least one of your fractions. =1 2 = /3

Great job!