Change the rational repeating decimal number 0.5555… to a fraction.
A) 1/5
B) 1/2
C) 5/9 (Correct Answer)
D) 5/11
Explanation:
First, assume x = 0.5555…
Then, multiply both sides by 10. 10x = 5.555…
Next, subtract the first equation x = 0.5555… from the second equation 10x = 5.555…
10x = 5.5555…
– x = 0.5555…
9x = 5
Finally, solve for x. 9x = 5; x = 5/9
Related Common Core State Standard: The Number System: 8.NS.1
