Recurring Decimal
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Definition of Recurring Decimal
Recurring Decimals are decimals in which a digit or a sequence of digits keeps repeating. For example: 0.666666666… .
More about Recurring Decimal
 Recurring decimal is also known as repeating decimal.
 The repeating decimal can be represented by putting a bar over the digit or the sequence of digits that repeat. For instance, 0.166666666 can also be written as .
Examples of Recurring Decimal

Here are a few examples of recurring or repeating decimals.
0.3333333 or
0.166666666 or
0.86666666666 or
Video Examples: Recurring Decimals
Solved Example on Recurring Decimal
Ques: Which of the following is a repeating decimal?.
Choices:
A.B.
C.
D.
Correct Answer: D
Solution:

Step 1: When a digit or sequence of digits keeps repeating in a decimal, it is called
a repeating decimal.
Step 2: For , when 8 is divided by 5, the quotient is 1.6
Step 3:For , when 1 is divided by 4, the quotient is 0.25.
Step 4: For , when 5 is divided by 10, the quotient is 0.5.
Step 5: For , when 1 is divided by 11, the quotient is 0.090909... and the digits 09 are repeating. Step 6: Therefore, is a repeating decimal.
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