Question

Dwayne is trying to find the fraction represented by the repeating decimal 0.5. He completes the three steps shown:

1) Let x = 0.5

2) 10x = 5.5

3) 10x = 5.5
-x = 0.5
________
9x=5
what is the fraction equivalent of 0.5?
A. 9/5
B.4/9
C. 5/9
D. 5/13

Answer 1

C. 5/9

Explanation:

10x = 5.5

-x = 0.5

9x = 5

x = 5/9

therefore, the answer is C. 5/9