How to convert a recurring decimal into a fraction
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…