CONVERTING RECURRING DECIMALS TO FRACTIONS WORKSHEET

Convert the following recurring decimals to fractions :

Problem 1 :

0.555…

Problem 2 :

0.777….

Problem 3 :

0.888….

Problem 4 :

1.262626….

Problem 5 :

1.0202….

Problem 6 :

0.5333….

Problem 7 :

1.7333….

Problem 8 :

0.9444….

Problem 9 :

2.0555…

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