Question

How would you write 0.5 Repeating as a fraction

Answer 1

59

Explanation:

Since this fraction repeats the same number it must have a denominator of 9 and a numerator of the repeating digit the repeating digit is 5 so the fraction is 59

Answer 2

Let x = 0.555…

Then 10x = 5.555…

Subtract one from the other to get

10x - x = 5.555… - 0.555…

Notice how the fractional parts on the right cancel. This leaves you with

9x = 5

and so

x = 5/9