Question

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

A
12
B
15
C
16
D
13

Solution

## The correct options are C 16 D 13For 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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