Repeating Decimals

Decimal numbers, also known as non-integers, are used to represent numbers that are not whole. They fall in between two whole numbers and are used to express more precise values.

Repeating decimals are a specific type of decimal number where one or more digits after the decimal point repeat indefinitely. These decimals can be identified by a bar above the repeating digits.

A step-by-step guide to converting a fraction to a repeating decimal

To convert a fraction to a repeating decimal, you can divide the numerator by the denominator. The result will be a decimal number, and if the division does not terminate, the digits after the decimal point will repeat indefinitely. This is a method to represent fractions that cannot be simplified to a whole number or a mixed number.

Repeating Decimals – Examples 1

How do you write \(\frac{1}{9}\) as a decimal?

Solutions:

Divide the numerator by the denominator.
\(1÷9=0.1111\) ….
\(\frac{1}{9}\) is about equal to 0.1111….

Repeating Decimals – Examples 2

How do you write \(\frac{2}{9}\) as a decimal?

Solutions:

Divide the numerator by the denominator.
\(2÷9=0.2222\) …
\(\frac{2}{9}\) is about equal to 0.222…