Free Printable Decompose Fractions

1.

How can you get 3/4?

a)

1/4 + 1/4

b)

2/4 + 1/4

c)

1/4 + 1/4 + 1/4 + 1/4

d)

3/4 + 1/4

2.

Decompose the following fraction:
6/10

a)

1/6 + 5/6

b)

2/10 + 4/10

c)

3/10 + 2/10

d)

1/10 + 1/10 + 3/10

3.

Which of the following equations is show in the picture?

a)

1/10+1/10+1/10+1/10+1/10+1/10+1/10 = 7/10

b)

2/10+3/10+2/10 = 7/10

c)

5/10+2/10 = 7/10

d)

5/7+2/7 = 7/10

4.

What is the sum of unit fractions for this pictorial model?

a)

1/2 + 1/2= 2/2

b)

1/4 + 1/4= 2/4

c)

1/4 + 1/4= 2/8

d)

1/3+ 1/3= 2/3

5.

How can you decompose 4/7?

a)

1/7 + 1/7 + 1/7 + 1/7

b)

2/7 + 2/7

c)

3/7 + 1/7

d)

all of the above

6.

Brad ate 3/4 of his Kit-Kat bar and gave the rest to Zech. How much of the Kit-Kat bar did Zech get to eat?

a)

3/4

b)

1/4

c)

2/4

d)

None

7.

Which describes breaking apart this model?

a)

2/3 = 1/3 + 1/3

b)

2/3 = 1/3 + 1/2

c)

2/3 = 1/3 + 1/3 + 1/3

8.

What mixed number is shown in this model?

a)

3 2/3

b)

11/12

c)

4 2/3

9.

Which mixed number is read six and five eighths?

a)

5 6/8

b)

6 5/8

c)

8 5/6

10.

Which of the following equations is show in the picture?

a)

4/10+2/10+1/10 = 7/10

b)

1/10+1/10+1/10+1/10+1/10+1/10+1/10 = 7/10

c)

4/4+2/2+1/1 = 7/10

d)

4/7+2/7+1/7 = 7/7

11.

Crystal shared her cake with a total of 6 people. How much of the cake did each person get?

a)

6

b)

1/6

c)

6/6

d)

1

12.

1/4 + 1/4 + 1/4 = ?

a)

2/4

b)

3/4

c)

4/5

d)

2/3

13.

What fraction is represented by the sum of 1/6 + 1/6 + 1/6?

a)

3/6

b)

2/6

c)

4/6

d)

3/18

14.

What's another way to decompose 3/8?

a)

2/8+1/8+1/8

b)

3/8+3/8

c)

1/8+1/8+1/8

15.

3/5 + 1/5 =

a)

4/5

b)

2/5

c)

5/5

d)

3/5

16.

7/10 + 2/10 =

a)

5/10

b)

6/10

c)

9/10

d)

8/10

17.

11/20 + 3/20 =

a)

8/20

b)

14/20

c)

10/20

d)

5/20

18.

7/9 - 3/9 =

a)

4/9

b)

4/10

c)

4/4

d)

5/6

19.

Solve and Simplify if needed
7 / 8 - 4 / 8 =

a)

3 / 8

b)

11 / 8

c)

3 / 16

20.

a)

3 1/2

b)

3 5/6

c)

1 1/6

d)

3 5/12

21.

Which is larger?
1/8 or 1/4

a)

1/8

b)

1/4

22.

Fill in the Blank.

3/5 + ____ =1

a)

3/5

b)

2/5

c)

4/5

d)

1

23.

What fraction is represented at point C?

a)

3/6

b)

3/7

c)

2/6

d)

3/6

24.

Use the fraction strips to answer the question.

Name an equivalent fraction to 1/2

a)

1/4

b)

1/3

c)

2/3

d)

3/6

25.

Compare the fractions using >, <, or =.

Draw a model to help you if needed.

a)

>

b)

<

c)

=

26.

Compare the fractions using >,<, or =.

a)

>

b)

<

c)

=

27.

Why can you NOT compare these two fraction strips?

a)

They are not even and don't take up the same amount of space.

b)

They are different colors.

c)

There are not enough fraction bars.

d)

They are even and are not different.

28.

Which of the following fractions is greater than
1 / 2 ?

a)

1 / 6

b)

5 / 10

c)

7 / 8

d)

2 / 5

29.

Which of the following fractions is nearest to 1 whole?

a)

3 / 6

b)

9 / 10

c)

1 / 7

d)

4 / 9

30.

What does the word EQUIVALENT mean?

a)

Greater than

b)

Less Than

c)

Equal to

d)

The Total

31.

Is 4/4 equivalent to 8/8 and 1?

a)

Yes

b)

No

32.

Which fraction is equivalent to 1 (1 whole)?

a)

1/2

b)

1/10

c)

5/5

d)

5/1

33.

What is another way to write one-third?

a)

1/2

b)

1/3

c)

1/4

d)

3/ 1

34.

What fraction of the rectangle is blue?

a)

1/3

b)

1/4

c)

3/4

d)

2/5

35.

Which picture shows 3/4?

a)

green

b)

blue

c)

purple

d)

pink

36.

What equation represents the shaded area of the tape diagram?

a)

3/5

b)

2/5

c)

5/5

37.

Which equivalent fraction represents the area model?

a)

$\frac{4}{12}=\frac{3}{12}$

b)

$\frac{1}{4}=\frac{3}{12}$

c)

$\frac{1}{4}=\frac{3}{3}$

d)

$\frac{1}{4}=\frac{3}{4}$

38.

Convert the mixed fraction to a improper fraction.

a)

27 /7

b)

21 /7

c)

31 /7

d)

41/7

39.

Convert:
⁷/₃

a)

1 1/3

b)

2/3

c)

3

d)

2 1/3

40.

A recipe needs 3/4 cup of sugar. If the recipe is doubled, how much sugar is needed?

a)

1

b)

1 2/4

c)

1 3/4

d)

2

Decompose Fractions

Total questions: 40

Worksheet time: 40mins

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