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Worksheets

Decomposing Fractions

Total questions: 48

Worksheet time: 24mins

Name
Class
Date
1.

 Which is NOT a way to decompose 78 ?Which\ is\ NOT\ a\ way\ to\ decompose\ \frac{7}{8}\ ?  

a)

 58+38\frac{5}{8}+\frac{3}{8} 

b)


 58+28\frac{5}{8}+\frac{2}{8} 

c)

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

d)

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

2.

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

a)

48\frac{4}{8}

b)

88\frac{8}{8}

c)

432\frac{4}{32}

3.

 110+110+110+110\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}  

a)


550\frac{5}{50}

b)

510\frac{5}{10}

c)

 410\frac{4}{10}  

4.

 56=16+36+?\frac{5}{6}=\frac{1}{6}+\frac{3}{6}+?  

a)

 16\frac{1}{6}  

b)

 06\frac{0}{6}  

c)

 26\frac{2}{6}  

5.

 410=110+110+?\frac{4}{10}=\frac{1}{10}+\frac{1}{10}+?  

a)

 110\frac{1}{10}  

b)

 210\frac{2}{10}  

c)

 010\frac{0}{10}  

6.

 56=16+26+?\frac{5}{6}=\frac{1}{6}+\frac{2}{6}+?  

a)

 16\frac{1}{6}  

b)

 06\frac{0}{6}  

c)

 26\frac{2}{6}  

7.

 56=46+16+?\frac{5}{6}=\frac{4}{6}+\frac{1}{6}+?  

a)

 16\frac{1}{6}  

b)

 06\frac{0}{6}  

c)

 26\frac{2}{6}  

8.

 56=16+16+16+?\frac{5}{6}=\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+?  

a)

 16\frac{1}{6}  

b)

 06\frac{0}{6}  

c)

 26\frac{2}{6}  

9.

 410=310+110+?\frac{4}{10}=\frac{3}{10}+\frac{1}{10}+?  

a)

 110\frac{1}{10}  

b)

 210\frac{2}{10}  

c)

 010\frac{0}{10}  

10.

 410=110+110+110+?\frac{4}{10}=\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+?  

a)

 110\frac{1}{10}  

b)

 210\frac{2}{10}  

c)

 010\frac{0}{10}  

11.

 56=16+16+?\frac{5}{6}=\frac{1}{6}+\frac{1}{6}+?  

(a)  

12.

 35=15+15+?\frac{3}{5}=\frac{1}{5}+\frac{1}{5}+?  

(a)  

13.

 39=19+19+?\frac{3}{9}=\frac{1}{9}+\frac{1}{9}+?  

(a)  

14.

 79=29+?\frac{7}{9}=\frac{2}{9}+?  

(a)  

15.

 34=14+?\frac{3}{4}=\frac{1}{4}+?  

(a)  

16.

110+110+110+110\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}  

a)

550\frac{5}{50}

b)

510\frac{5}{10}

c)

410\frac{4}{10}  

17.

How can you decompose 45?\frac{4}{5}?  

a)

45=15+ 15\frac{4}{5}=\frac{1}{5}+\ \frac{1}{5}  

b)

45=15+15+25\frac{4}{5}=\frac{1}{5}+\frac{1}{5}+\frac{2}{5}  

c)

45=15+15+15\frac{4}{5}=\frac{1}{5}+\frac{1}{5}+\frac{1}{5}  

d)

45=35+ 35\frac{4}{5}=\frac{3}{5}+\ \frac{3}{5}  

18.

Mando wrote this expression: 26+26+16\frac{2}{6}+\frac{2}{6}+\frac{1}{6}   What was the fraction he decomposed?

a)
b)
c)
d)
19.

18+28+38\frac{1}{8}+\frac{2}{8}+\frac{3}{8}   Which fraction was decomposed to make this expression?

a)
b)
c)
d)
20.

How can you decompose 3/9 into a sum of unit fractions?

a)

1/9 + 1/9 + 1/9

b)

2/9 + 1/9

c)

1/3 + 1/3

d)

3/9 + 1/9

21.

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

22.
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
23.

a)

112\frac{1}{12}

b)

212\frac{2}{12}

c)

312\frac{3}{12}

24.

a)

18\frac{1}{8}

b)

08\frac{0}{8}

c)

28\frac{2}{8}

25.

How can you decompose 3/9 into a sum of unit fractions?

a)

1/9 + 1/9 + 1/9

b)

2/9 + 1/9

c)

1/3 + 1/3

d)

3/9 + 1/9

26.

What is

67\frac{6}{7}  decomposed?

a)

37+27\frac{3}{7}+\frac{2}{7}  

b)

37+37\frac{3}{7}+\frac{3}{7}  

c)

17+17+17\frac{1}{7}+\frac{1}{7}+\frac{1}{7}  

d)

17+37\frac{1}{7}+\frac{3}{7}  

27.

What is

117\frac{11}{7}  decomposed?

a)

77+47\frac{7}{7}+\frac{4}{7}  

b)

27+37\frac{2}{7}+\frac{3}{7}  

c)

17+17+17\frac{1}{7}+\frac{1}{7}+\frac{1}{7}  

d)

17+37\frac{1}{7}+\frac{3}{7}  

28.

What is

74\frac{7}{4}  decomposed?

a)

13+61\frac{1}{3}+\frac{6}{1}  

b)

44+34\frac{4}{4}+\frac{3}{4}  

c)

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

d)

14+34\frac{1}{4}+\frac{3}{4}  

29.

What is

1916\frac{19}{16}  decomposed?

a)

116+916\frac{1}{16}+\frac{9}{16}  

b)

216+1616\frac{2}{16}+\frac{16}{16}  

c)

116+116+116\frac{1}{16}+\frac{1}{16}+\frac{1}{16}  

d)

1616+316\frac{16}{16}+\frac{3}{16}  

30.

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

(a)  

31.

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

(a)  

32.

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

(a)  

33.

14+14\frac{1}{4}+\frac{1}{4}  

(a)  

34.

19+19+19+19+19+19+19\frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}  

(a)  

35.

113+113+113+113+113+113\frac{1}{13}+\frac{1}{13}+\frac{1}{13}+\frac{1}{13}+\frac{1}{13}+\frac{1}{13}  

(a)  

36.

13+13+13+13+13+13\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}  

(a)  

37.

19+19+19\frac{1}{9}+\frac{1}{9}+\frac{1}{9}  

(a)  

38.

13+13+13+13+13\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}  

(a)  

39.

13+13+13+13\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}  

(a)  

40.

13+13+13\frac{1}{3}+\frac{1}{3}+\frac{1}{3}  

(a)  

41.

13+13\frac{1}{3}+\frac{1}{3}  

(a)  

42.

113+113+113+113+113\frac{1}{13}+\frac{1}{13}+\frac{1}{13}+\frac{1}{13}+\frac{1}{13}  

(a)  

43.

113+113+113+113\frac{1}{13}+\frac{1}{13}+\frac{1}{13}+\frac{1}{13}  

(a)  

44.

113+113+113\frac{1}{13}+\frac{1}{13}+\frac{1}{13}  

(a)  

45.

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

(a)  

46.

15+15+15+15+15+15\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}  

(a)  

47.

15+15+15+15+15\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}  

(a)  

48.

15+15+15+15\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}  

(a)