Question

Which of the following decimal form of rational numbers is a non-terminating recurring type?

1 point

17/125

29/16

2/11

101/8​

Answer 1

Answer:

29/16 is the answer of this question

Answer 2

Step-by-step explanation:

For terminating decimal the prime factorisation of denominator should only contain the factor 2 or factor 5 or both factors 2 and 5. prime factorisation of denominator containing factors 2 & any other number or factors 5 & any other number or faciors 2,5 & any other number are non terminating decimals.

a)5/12 is not a terminating decimal since the prime factorisation of 12 contains the factors 2 & 3 i.e., 12=2X2X3

b)16/125 is a terminating decimal since the prime factorisation of 125 contains the factors only 5 i.e.,125=5X5X5

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