# Expanding Brackets

HideShow resource information

- Created by: Olivia
- Created on: 24-04-13 21:20

Fullscreen

## How to convert a recurring decimal into a fraction

### Example 1

Write 0.77.. as a fraction in it's lowest terms.

Our first step is to form a simple equation where x=0.77... By multiplying both sides by 10 we can obtain another equation with 10x=7.77... Now we eliminate the recurring part of the decimal by subtracting x from 10x.

x10x9xx=0.77..=7.77..=7=79 So we have our answer 0.77...=79.

The important part to remember is to get two equations in x…

## Similar Mathematics resources:

Teacher recommended

## Comments