How Do You Turn a Fraction Into a Repeating Decimal?

How Do You Turn a Fraction Into a Repeating Decimal?

Note:

Did you know that a fraction just represents a division? To turn a fraction into a decimal, divide the numerator by the denominator. In this tutorial, see how to convert a fraction into the repeating decimal it represents.

Keywords:

long division

decimal

fraction

convert

repeating decimal

divide

bar

repeating digits

numerator

denominator

divisor

dividend

Background Tutorials

Fluently divide multi-digit numbers using the standard algorithm.

We know that calculators are everywhere, but that doesn't mean that long division isn't important! Sometimes you won't be allowed to use a calculator, and when those times occur, you'll be thankful that you watched this video!

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

We know that calculators are everywhere, but that doesn't mean that long division isn't important! Sometimes you won't be allowed to use a calculator, and when those times occur, you'll be thankful that you watched this video!

Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

A repeating decimal is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending. Did you know that all repeating decimals can be rewritten as fractions? To make these kinds of decimals easier to write, there's a special notation you can use! Learn about repeating decimals in this tutorial.