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Question

The fraction which gives a recurring decimal is

A
19
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B
14
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C
18
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Solution

The correct option is A 19
Let us find the decimal equivalent of 18


Hence, 18 = 0.125
It is not a recurring decimal.

Let us find the decimal equivalent of 19


The remainder is 1 and the quotient is 0.11111 and it does not terminate.
This is a recurring decimal.

Let us find the decimal equivalent of 14.


The decimal equivalent of 14 is 0.25
This is not a recurring decimal.

Hence, the fraction that gives a recurring decimal is 19

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