# How do you convert 0.39 (39 repeating) to a fraction?

##### 1 Answer

Feb 22, 2016

We first assign this value as x

Then we can multiply the value so that the decimal moves to the right a couple of spaces

and

Let's see, how can we get rid of all of those 9's now?

Ah! Subtraction!!

We can subtract the

Wow that was so easy!

Just remember: Multiply a repeating decimal by a **multiple of ten** so that the **repeating part** of the decimal can **cancel out** when we **subtract** the two numbers.