Question

How do you convert a repeating decimal into a fraction

Answer 1

Explanation:

Lets start with an example. 0.3 recurring

x=0.33333333333

10x=3.3333333333

100x=33.3333333

Here we can subract 10x from 100x to get 90x

We can also subract 3.333333 from 33.3333333 to get 30.

Thus, our answer is 30/90, which is equal to 1/3.

We have converted a recurring decimal to a fraction.

Make sure to subract terms (ie. x, 10x, 100x) from each other only when you see that the cancel out to make a whole number, such as subtracting 3.333333 from 33.3333333 to get 30.