Free Printable Recurring and Terminating Decimals

1.

Which fraction is a recurring decimal?

a)

$\frac{5}{8}$

b)

$\frac{11}{20}$

c)

$\frac{2}{7}$

2.

What is $\frac{4}{7}$ as a recurring decimal?

a)

0.4444....

b)

0.571428571428....

c)

0.4747....

d)

0.47244724....

3.

Write $0.8181....$ as a fraction in its simplest form.

a)

$\frac{9}{11}$

b)

$\frac{81}{9}$

c)

$\frac{8}{9}$

d)

$\frac{81}{99}$

4.

Convert 0.34444.... to a fraction in its simplest form.

a)

$\frac{3}{44}$

b)

$\frac{31}{90}$

c)

$\frac{34}{99}$

d)

$\frac{3}{7}$

5.

Write 0.51212.... as a fraction in its simplest form.

a)

\frac{507}{990}

b)

$\frac{5}{12}$

c)

$\frac{512}{990}$

d)

$\frac{169}{330}$

6.

Write 1.24444.... as a mixed number in its simplest form.

a)

$\frac{112}{90}$

b)

$1\ \frac{2}{4}$

c)

$1\ \frac{11}{45}$

d)

$1\ \frac{24}{99}$

7.

$0.47272....$ $\frac{5}{11}$ $\frac{11}{23}$

Which of these is the smallest?

a)

$0.47272....$

b)

$\frac{5}{11}$

c)

$\frac{5}{11}$

8.

0.44.... is the same as

a)

$\frac{1}{4}$

b)

$\frac{4}{9}$

c)

$\frac{2}{6}$

9.

0.88.... is the same as

a)

$\frac{8}{9}$

b)

$\frac{88}{90}$

c)

$\frac{1}{8}$

10.

0.22.... is the same as

a)

$\frac{0}{22}$

b)

$\frac{22}{9}$

c)

$\frac{1}{22}$

d)

\frac{2}{9}

11.

a)

1/2

b)

1/10

c)

1/100

d)

1/9

12.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

13.

a)

24/99

b)

2 4/9

c)

2 2/5

d)

6/25

14.

a)

2/3

b)

-2/3

c)

3/5

d)

-3/5

15.

a)

7/50

b)

14/9

c)

7/45

d)

14/99

16.

a)

77/25

b)

77/250

c)

308/9

d)

308/999

17.

a)

2 23/100

b)

2 23/10

c)

2 23/9

d)

2 23/99

18.

a)

- 3/100

b)

- 3/10

c)

- 1/3

d)

- 1/33

19.

a)

1 8/9

b)

17/90

c)

17/100

d)

1 18/99

20.

Convert 0.252525... to a fraction.

a)

25/90

b)

25/99

c)

25/100

d)

26/100

21.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

⁷/₉

b)

⁷⁷/₉₉

c)

²/₃

d)

⁷/₉₉

22.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

²/₉

b)

²²/₉₉

c)

¹/₃

d)

²/₉₉

23.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

⁸/₉

b)

⁸⁸/₉₉

c)

²/₃

d)

⁸/₉₉

24.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

¹³/₃₃

b)

³⁴/₉₉

c)

⁴/₁₁

d)

¹²/₃₃

25.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

¹⁸/₃₃

b)

⁵⁸/₉₉

c)

⁶/₁₁

d)

¹⁹/₃₃

26.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

²³/₃₃

b)

⁷¹/₉₉

c)

⁸/₁₁

d)

²⁴/₃₃

27.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

¹⁴/₃₃

b)

⁴²/₉₉

c)

⁵/₁₁

d)

¹³/₃₃

28.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

¹⁴/₃₃

b)

³⁹/₉₉

c)

⁶/₁₁

d)

¹³/₃₃

29.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

¹⁴³/₃₃₃

b)

⁴³¹/₉₉₉

c)

⁴⁷/₁₁₁

d)

¹⁴²/₃₃₃

30.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

⁵¹/₃₃₃

b)

¹⁵³/₉₉₉

c)

¹⁴/₁₁₁

d)

⁵²/₃₃₃

31.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

²⁹¹/₃₃₃

b)

⁸⁷⁴/₉₉₉

c)

⁹⁷/₁₁₁

d)

²⁹²/₃₃₃

32.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

¹⁷⁵/₃₃₃

b)

⁵²⁵/₉₉₉

c)

⁶⁵/₁₁₁

d)

¹⁷⁵/₉₉₉

33.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

⁴³¹³/₉₉₉₉

b)

⁴³¹³/₉₉₉

c)

⁴⁷⁹/₁₁₁

d)

¹⁴³⁷/₃₃₃₃

34.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

⁵²¹⁴/₉₉₉₉

b)

¹⁷³⁸/₉₉₉₉

c)

⁵⁷⁹/₁₁₁₁

d)

¹⁷³⁸/₃₃₃₃

35.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

⁸⁷³¹/₉₉₉₉

b)

²⁹¹¹/₉₉₉₉

c)

⁹⁷⁰/₁₁₁₁

d)

²⁹¹¹/₃₃₃₃

36.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

³/₉

b)

³³/₉₉

c)

¹/₃

d)

³/₉₉

37.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

a)

⁴/₉

b)

¹²/₉₉

c)

⁴/₃₃

d)

⁴/₉₉

38.

If the denominator can only be written as a product of primes containing only 2 and 5 it is …..

a)

Terminating

b)

Recurring

39.

$What\ kind\ of\ fraction\ is\ \frac{2}{3}$

a)

Terminating

b)

Recurring

40.

$What\ kind\ of\ fraction\ is\ \frac{3}{8}$

a)

Terminating

b)

Recurring

41.

$What\ kind\ of\ fraction\ is\ \frac{1}{9}$

a)

Terminating

b)

Recurring

42.

$What\ kind\ of\ fraction\ is\ \frac{4}{25}$

a)

Terminating

b)

Recurring

43.

$0.\overline{3}\ written\ as\ a\ fraction\ is:$

a)

$\frac{3}{10}$

b)

$\frac{3}{9}$

44.

$0.\overline{35}\ written\ as\ a\ fraction\ is:$

a)

$\frac{35}{99}$

b)

$\frac{35}{100}$

Recurring and Terminating Decimals

Total questions: 44

Worksheet time: 3hrs 3mins

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