# How do you convert #0.bar(45)# (meaning the #45# is being repeated) to a fraction?

##### 2 Answers

Jun 27, 2018

#### Explanation:

Let **............................(1)**

then **............................(2)**

subtracting (1) from (2) we get

or

Hence

Jun 28, 2018

#### Explanation:

When two numbers in a decimal sequence repeat forever, the denominator will be

To think about the numerator, let's just take the number

This number would round to

Thus, we have

Hope this helps!