Which one of the following has a terminating decimal expansion?

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5/32

7/9

8/15

None of these

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Detailed Solution

Concept: Terminating decimal is a decimal that ends with a finite number of digits.A decimal with an end digit is referred to as a terminating decimal. It is a decimal, which means that its digits are limited (or terms). For instance, 0.15, 0.86, etc. The decimals that lack an end term are known asnon- terminating decimals.
Let’s take
5/32=0.15625
7/9 = 0.7777777777777778
8/15 = 1.6
Here the decimal number ends with five decimal digits.
In other options, the numerators when divided by their respective denominators, will not give a finite number of digits after decimal, and therefore, they can be said as non-terminating numbers.
Hence, the correct answer is 1.

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