Name ________________________________ Date __________________ Class _________________

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Practice A Equivalent Fractions

Find two equivalent fractions for each fraction. 1. 12 2. 14 3. 13

_______________________ ________________________ ________________________

4. 15 5. 23 6. 34

_______________________ ________________________ ________________________

7. 16 8. 25 9. 1020

_______________________ ________________________ ________________________

Find the missing numbers that make the fractions equivalent.

10. 2 ?4 8=

11. 1 ?3 9=

12. 10 ?5 1=

_______________________ ________________________ ________________________

13. 14 ?4 2=

14. 5 ?6 12= 15. 2 ?

7 21=

_______________________ ________________________ ________________________

Write each fraction in simplest form.

16. 24 17. 39 18. 810 19. 46

_______________ _______________ ________________ ________________

20. A recipe calls for 12 cup of sugar and 48 cup of flour. Does the

recipe use more sugar or flour? Explain.

________________________________________________________________________________________

21. Frank and Antoine’s teams played the same number of baseball games this season. Frank’s team won 23 of its games, and

Antoine’s team won 812

of its games. Which team won the most

games this season? Explain.

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Name ________________________________ Date __________________ Class _________________

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Practice B Equivalent Fractions

Find two equivalent fractions for each fraction.

1. 36 2. 47 3. 1113

_______________________ ________________________ ________________________

4. 215

5. 514

6. 89

_______________________ ________________________ ________________________

7. 221

8. 2448

9. 25100

_______________________ ________________________ ________________________

Find the missing numbers that make the fractions equivalent.

10. 4 ?7 28= 11. 2 ?

9 54= 12. 36 ?4 1=

_______________________ ________________________ ________________________

13. 56 ?8 2= 14. 3 ?15 25= 15. 4 ?17 42=

_______________________ ________________________ ________________________

Write each fraction in simplest form.

16. 1525 17. 836 18. 1218

19. 1024

_______________ _______________ ________________ ________________

20. Billy had 24 trading cards. He gave 7 of his cards to Miko and 9 of his cards to Teri. What fraction of his original 24 cards does Billy have left? Write two equivalent fractions for that amount.

________________________________________________________________________________________

21. Beth and Kristine ride their bikes to school in the morning. Beth has to ride 7132

miles. Kristine has to ride 3932 miles. Who rides

the farthest to reach school? Explain.

________________________________________________________________________________________

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Practice C Equivalent Fractions

Find two equivalent fractions for each fraction.

1. 1015 2. 718

3. 516

_______________________ ________________________ ________________________

4. 923 5. 1427

6. 155255

_______________________ ________________________ ________________________

7. 6280 8. 2177

9. 94102

_______________________ ________________________ ________________________

Find the missing numbers that make the fractions equivalent.

10. 2 ?21 42= 11. 28 ?

56 14= 12. 15 ?13 39=

_______________________ ________________________ ________________________

13. 10 ?112 6= 14. 3 ?28 16= 15. 4 ?26 3=

_______________________ ________________________ ________________________

Write each fraction in simplest form. Show two ways to simplify.

16. 1830 17. 1624

18. 1648 19. 1239

_______________ _______________ ________________ ________________

20. A theater manager has the same number of tickets available for every show. She sold 27

45 of the tickets for Monday night’s show.

For Tuesday night’s show, she sold 108180 of the tickets, and for

Wednesday she sold 79135 of the tickets. For which two shows

did she sell the same number of tickets? Explain.

________________________________________________________________________________________

21. What do the fractions 317

, 57 , 1123

, and 8397 have in common?

Why can’t these fractions be simplified?

________________________________________________________________________________________

________________________________________________________________________________________

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Review for Mastery Equivalent Fractions

Fractions that have the same value are equivalent fractions. 3 64 8=

34 and 68 are equivalent fractions.

You can use fraction strips to help you find equivalent fractions.

To solve 2 ?3 12= , first use fraction strips to model the first

fraction. Then use 1

12 fraction pieces to make a length as long as

the 23 strip.

You need eight 112

pieces, so 823 12= .

Find the missing number that makes the fractions equivalent.

1. 3 ?4 12= 2. 8 ?

10 5= 3. 6 ?9 3= 4. 5 ?

6 12=

_______________ _______________ ________________ ________________ A fraction is in simplest form when the GCF of the numerator and the denominator is 1. To write 46 in simplest form, divide the numerator and the

denominator by their GCF, 2. 4 ⎟ 2 = 2 6 ⎟ 2 = 3

So, 46 in simplest form is 23 .

Write each fraction in simplest form.

5. 39 6. 1216

7. 1418

8. 820

_______________ _______________ ________________ ________________

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Challenge Match That Fraction!

Write the fraction that the shaded part of each figure represents. Then match equivalent fractions by drawing lines between numbered and lettered figures. 1. A. Fraction: _______________ Fraction: _______________ 2. B. Fraction: _______________ Fraction: _______________ 3. C. Fraction: _______________ Fraction: _______________ 4. D.

Fraction: _______________ Fraction: _______________ 5. E. Fraction: _______________ Fraction: _______________

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Problem Solving Equivalent Fractions

About 60 million Americans exercise 100 times or more each year. Their top activities and the fraction of those 60 million people who did them are shown on the circle graph. Use the graph to answer the questions. 1. Which two activities did the same

number of people use to keep in shape?

_______________________________________

_______________________________________

2. Which activity had the most participants? Write an equivalent fraction for that activity’s participants.

_______________________________________

_______________________________________

3. Which activity had the fewest participants? Write two equivalent fractions for that activity’s participants.

_______________________________________

_______________________________________

Circle the letter of the correct answer. 4. Which activity did 315 of the people

use to exercise? A free weights B treadmill C fitness walking D stationary bike

6. An average-sized person can burn about 16 2

calories a minute while

riding a bike. Which of the following is equivalent to that amount?

A 212 C 26 4

B 65 2 D 26 6

5. Which activity did 35300 of the people

use to stay healthy? F running/jogging G resistance machines H free weights J treadmill

7. An average-sized person can burn about 11.25 calories a minute while jogging. Which of the following is not equivalent to that amount?

F 1114 H 2118

G 1112 J 31112

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Reading Strategies Use a Visual Model

Each fraction has the same amount shaded. Fractions of equal value are called equivalent fractions.

Answer the following questions.

1. What fractional part of rectangle A is shaded? _____________________________________

2. What fractional part of rectangle B is shaded? _____________________________________

3. What fractional part of rectangle C is shaded? _____________________________________

4. Write two equivalent fractions for 13

. _____________________________________

5. What fractional part of rectangle D is shaded? _____________________________________

6. Shade an equivalent fractional part of rectangle E.

7. Shade an equivalent fractional part of rectangle F.

8. Write two equivalent fractions for 12 .

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Puzzles, Twisters & Teasers The Best Day in School

Your goal is to find all of the fractions in the grid which are equivalent.

Black out any pair or set of three fractions that are equivalent. Read the letters in the remaining boxes in order from left to right, top to bottom, to solve the riddle.

610 W 12

32 C 45

55 D 714

A 1845 O 21

27 L

1848 E 2

14 E 2

16 V 6

21 X 36

40 M 1226

F

2025 G 15

18 T 927

L 540 S 2

18 I 15

25 T

2136

T 1620 H 46

92 S 3545 P 18

39 N 2127

K

1424

Y 444

G 818 H 6

24 E 8

28 B 2436

T

1420

E 624

O 410

U 2428

D 5566 I 90

100 E

What happened when the power went off at school? The students were _____________________________!

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Answers LESSON 4-5

Practice A Possible answers are given:

1. 32; 4 6 2. 32; 8 12

3. 32; 6 9 4. 32 ; 10 15

5. 64; 6 9 6. 6 9; 8 12

7. 32 ; 12 18 8. 64 ; 10 15

9. 5 1; 10 2 10. 4

11. 3 12. 2 13. 7 14. 10

15. 6 16. 12

17. 13 18. 45

19. 23

20. It uses the same amount of sugar and flour, because 1 4

2 8=.

21. They won the same amount of games, because 82

3 12= .

Practice B Possible answers are given:

1. 61; 2 12 2. 8 12; 14 21

3. 3322; 26 39 4. 64 ; 30 45

5. 10 15; 28 42 6. 16 24; 18 27

7. 64 ; 42 63 8. 81; 2 16

9. 501; 4 200 10. 16

11. 12 12. 9 13. 14 14. 40

15. 66 16. 35

17. 29 18. 23

19. 512

20. 824

; possible equivalent fractions: 412

,

26

21. They ride the same distance, because 7132

= 3932 miles.

Practice C Possible answers are given:

1. 20 2; 30 3 2. 14 21; 36 54

3. 10 15; 32 48 4. 18 27; 46 69

5. 28 42; 54 81 6. 31 310; 51 510

7. 31 124; 40 160 8. 3 42; 11 154

9. 18847; 51 204 10. 4

11. 7 12. 45 13. 11 14. 38

15. 8 16. 35

17. 23 18. 13

19. 413

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20. Monday and Tuesday, because 10827

45 180=

21. All of the numbers in the fractions are prime; there are no numbers that divide both the numerator and the denominator in each fraction.

Review for Mastery 1. 9 2. 4 3. 2 4. 10

5. 13 6. 34

7. 79 8. 25

Challenge

1. 3 ;9 D. 26 2. 3 ;7 C. 6

14

3. 6 ;10 E. 35 4. 4 ;16 B. 28

5. 6 ;12 A. 48

Problem Solving 1. stationary bike and running/jogging

2. fitness walking; possible answer: 34120

3. resistance machines; possible answers: 32 ; 20 30

4. A 5. J 6. C 7. G Reading Strategies

1. 13 2. 26

3. 39 4. 32 and 6 9

5. 12 6.

7. 8. 2 4 and 4 8

Puzzles, Twisters & Teasers

DELIGHTED