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decompose fraction

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.
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
2.

The part of a fraction below the line, which tells how many equal parts there are in the whole or in the group.

a)

fraction

b)

numerator

c)

denominator

d)

mixed number

3.

The part of a fraction above the line, which tells how many parts are being counted.

a)

fraction

b)

numerator

c)

denominator

d)

mixed number

4.

Select all of the correct ways you could decompose 78\frac{7}{8}  

a)

18+ 18+ 18 +18 +18 \frac{1}{8}+\ \frac{1}{8}+\ \frac{1}{8}\ +\frac{1}{8}\ +\frac{1}{8}\  

b)

28 + 48 +18\frac{2}{8}\ +\ \frac{4}{8}\ +\frac{1}{8}  

c)

68 + 18\frac{6}{8}\ +\ \frac{1}{8}  

d)

28+28 +28+18\frac{2}{8}+\frac{2}{8}\ +\frac{2}{8}+\frac{1}{8}  

5.

Write the fraction as a sum of unit fractions.

48\frac{4}{8}  

a)

28+28=48\frac{2}{8}+\frac{2}{8}=\frac{4}{8}  

b)

38+18=48\frac{3}{8}+\frac{1}{8}=\frac{4}{8}  

c)

18+18+18+18\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}  

d)

18+18+18+18=48\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}=\frac{4}{8}  

6.

Write the fraction as a sum of unit fractions.

66\frac{6}{6}  

a)

11+11+11+11+11+11=66\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{6}{6}  

b)

16+16+16+16+16+16=66\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{6}{6}  

c)

36+36=66\frac{3}{6}+\frac{3}{6}=\frac{6}{6}  

d)

66=66\frac{6}{6}=\frac{6}{6}  

7.

What does decompose mean?

a)

to put together

b)

to combine

c)

to add

d)

to break apart

8.

Using the model, create an equation that uses unit fractions for the fraction strip.

a)

14+14+14+14=44\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{4}{4}

b)

16+16+16+16=46\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{4}{6}

c)

26+26=46\frac{2}{6}+\frac{2}{6}=\frac{4}{6}

d)

16+16+16+16+16+16=66\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{6}{6}

9.

What does 15+15+15+15\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}  equal?

a)

55\frac{5}{5}  

b)

420\frac{4}{20}  

c)

520\frac{5}{20}  

d)

45\frac{4}{5}  

10.

Select all of the correct ways you could decompose 78\frac{7}{8}  

a)

18+ 18+ 18 +18 +18 \frac{1}{8}+\ \frac{1}{8}+\ \frac{1}{8}\ +\frac{1}{8}\ +\frac{1}{8}\  

b)

28 + 48 +18\frac{2}{8}\ +\ \frac{4}{8}\ +\frac{1}{8}  

c)

68 + 18\frac{6}{8}\ +\ \frac{1}{8}  

d)

28+28 +28+18\frac{2}{8}+\frac{2}{8}\ +\frac{2}{8}+\frac{1}{8}