# CONVERTING REPEATING DECIMALS TO FRACTIONS WORKSHEET

Convert the following recurring decimals to fractions :

Problem 1 :

0.333….

Solution

Problem 2 :

0.444….

Solution

Convert the following recurring decimals to fractions:

Problem 3 :

1.0909….

Solution

Problem 4 :

2.0909….

Solution

Problem 5 :

0.5333….

Solution

Problem 6 :

1.7333….

Solution

Problem 7 :

0.9444….

Solution

Problem 8 :

2.0555…

Solution

1) 0.333… = 1/3

2)  0.444… = 4/9

3) 1.0909… = 108/99

4) 2.0909… = 207/99

5) 0.5333… = 48/90

6) 1.7333… = 156/90

7)  0.9444… = 85/90

8)  2.0555… = 185/90

Problem 1 :

Solution

Problem 2 :

Work out the following

Solution

Problem 3 :

Arrange in order from smallest to largest.

Solution

Problem 4 :

Solution

Problem 5 :

Solution

1) 76/99

2)  49/33

3)  3/11 > 61/330 > 59/330 > 19/110

4) 10/33

5) 13/21

6)  777/1850

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