Dividing Fractions

MEAP REVIEW

Objectives

• Students will be able to:– Find reciprocals of given fractions– Divide Fractions, whole numbers and

mixed numbers by fractions– Solve real world problems involving

dividing fractions

To Divide Fractions:

• Rewrite the first fraction.• Change the division sign to a

multiplication sign.• Flip the second fraction upside

down (Find the reciprocal!!!).• Follow the steps to Multiply

Fractions.

Finding the Reciprocal

• When you flip the second fraction, you are writing that fraction’s reciprocal.

35

53

Finding Reciprocals

2

5= 5

2

6

13=

6

13

Example 1

1

3÷ 1

2Rewrite:

13

x 21 = 2

3

Example 2

4

5÷

4

9Rewrite:

45

x94

11

=95

= 1 45

Example 3

12 ÷ 351

Rewrite:

121

x 53

41

=20

1= 20

Example 4

16

÷21

Rewrite:

16

x 12

=1

12

♫ "Dividing fractions, as easy as pie,Flip the second fraction, then multiply." ♫

Remembering How to Divide Fractions: Use this Limerick

Dividing Mixed

Numbers

Strategy:

• Change mixed numbers into improper fractions.

• Instead of dividing, multiply by the reciprocal.

• Factor when possible, multiply, and put your answer in simplest form.

Example 1

6 25 ÷ 2 2

7

÷32

5167

32

5 x 716

21 = 14

5 = 2 45

Example 2

1 19 ÷ 6 2

3

÷10

9203

x10

9320

123

1=

16

Example 3

8 113 ÷ 5

÷105

1351

10513 x 1

521

1= 21

13 =1 813

Word Problem• Diana practices the piano for 3 hours

each week. She practices a ½ hour each day that she practices. How many days does Diana practice each week?

What operation should we use?

Division

3÷ = x = 61

Diana practices 6 days a week.

Word ProblemGeri Ann is making a gallon of iced tea, which requires 6 cups of ice tea mix. She has only a ¼ cup measuring cup with which to measure. How many scoops of ice tea mix will Geri Ann need to use? What operation should

we use?Division

6÷ = x = 241

She will need to use 24 scoops if she uses the ¼ cup measuring cup.

Video Time

• Dividing Fractions• Dividing Mixed Numbers

Classwork: Try these Visual models to help you

learn Division with fractions. See if you can guess with

whole numbers!

Classwork: Visit the Visual Fractions modeling mixed number

site.

Homework: Dividing Fractions HO