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Question

Which of the following fraction(s) is/are non terminating?


A
12
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B
15
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C
16
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D
13
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Solution

The correct options are
C 16
D 13
For terminating decimals, the denominator is of the form 2n, 5m or 2n× 5m.

12=0.5
It can be seen the denominator is of the form 2n, with n = 1 in this case.
Hence, it is terminating.

15=0.2
It can be seen the denominator is of the form 5m, with m = 1 in this case.
Hence, it is terminating.

16=0.166666666..
It can be seen the denominator is not of the form 2n, 5m or 2n× 5m.
Hence, it is non terminating.


13=0.333333333333..
It can be seen the denominator is not of the form 2n, 5m or 2n× 5m.
Hence, it is non terminating.

Mathematics

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