CONVERTING RECURRING DECIMALS TO FRACTIONS WORKSHEET

Convert the following recurring decimals to fractions :

Problem 1 :

0.555…

Solution

Problem 2 : 

0.777….

Solution

Problem 3 :

 0.888….

Solution

Problem 4 :

1.262626….

Solution

Problem 5 :

1.0202….

Solution

Problem 6 :

0.5333….

Solution

Problem 7 :

1.7333….

Solution

Problem 8 :

0.9444….

Solution

Problem 9 :

2.0555…

Solution

Answer Key

1)  0.555… = 5/9

2) 0.777… = 7/9

3)  0.888… = 8/9

4)  1.262626… = 125/99

5) 1.0202… = 101/99

6)  0.5333… = 8/15

7)  1.7333… = 26/15

8)  0.9444… = 17/18

9)  2.0555… = 37/18

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