# How do you convert 0.254 (4 repeating) as a fraction?

##### 2 Answers

#### Explanation:

Let

Multiply both sides of the first equation by 100 and the result is

Multiply both sides of the first equation by 1000 and the result is

Subtract second from the third

God bless....I hope the explanation is useful

#### Explanation:

There are easy rules to use for converting recurring decimals to fractions:

There are 2 types of recurring decimals - those where ALL the digits recur and those where SOME of the digits recur.

- If ALL the digits recur, the fraction is formed from;

eg 0.777777...... =

0.454545..... =

5.714714714.... =

eg 0.3544444..... =

eg. 0.4565656... =

eg 4.62151515... =

0.254444.... =

These rules are short cuts for algebraic methods, but it is often useful to be able to get to answer immediately.