Definition of Recurring Decimal:

Recurring
decimal is also known as repeating decimal. In a decimal, a digit or a sequence
of digits in the decimal part keeps repeating itself infinitely. Such decimals
are called **non-terminating repeating
decimals** or **recurring decimals**.

More information about Repeating or Recurring Decimal:

● The repeating decimal can be expressed by putting a bar over the digit or on the repeated digits that repeat itself.

● Also, dot can be put over the first and the last digit of the repeated block.

A few worked-out problems are explained here with step-by-step explanation to understand how to calculate or find repeating or recurring decimal.

Examples of Recurring Decimal:

**(a)** 17/45

= 0.3777…….

For, 17/45 when 17 is divided by 45, the quotient is

For instance, 0.377777777777......... can also be written as

Alternatively, we can write it by placing a dot above the repeating digit 7 in the quotient.

**Therefore, 17/45 is a repeating decimal.**

**(b)** 1/3

= 0.333.........

For, 1/3 when 1 is divided by 3, the quotient is

For instance, 0.33333333......... can also be written as

Alternatively, we can write it by placing a dot above the repeating digit 3 in the quotient.

**Therefore, 1/3 is a repeating decimal.**

**(c)** 2/11

= 0.1818

For, 2/11 when 2 is divided by 11, the quotient is

For instance, 0.181818......... can also be written as

Alternatively, we can write it by placing a dot above the repeating digits 18 in the quotient.

**Therefore, 2/11 is a repeating decimal.**

● **Related Concept **

● Decimals

● Conversion of Unlike Decimals to Like Decimals

● Decimal and Fractional Expansion

● Converting Decimals to Fractions

● Converting Fractions to Decimals

● H.C.F. and L.C.M. of Decimals

● Repeating or Recurring Decimal

● Conversion of Pure Recurring Decimal into Vulgar Fraction

● Conversion of Mixed Recurring Decimals into Vulgar Fractions

**7th Grade Math Problems**

**From Repeating or Recurring Decimal to HOME PAGE**

**Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.**

## New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.