Alan rewrites a fraction less than 1 as a decimal. A numerator is a whole number greater than 0. For which denominator will the fraction always convert to a terminating decimal? 12,16,13,9

outoro7d

outoro7d

Answered question

2023-02-03

Alan rewrites a fraction less than 1 as a decimal. A numerator is a whole number greater than 0. For which denominator will the fraction always convert to a terminating decimal? A12 B16 C13 D9

Answer & Explanation

Luis Wiggins

Luis Wiggins

Beginner2023-02-04Added 3 answers

The ideal decision is B 16
Explanation for the correct answer:
The denominator of the fraction must take the form in order for decimal to be terminating 2m×5n
As, 16=24
As a result, the fraction will always become a terminating decimal for denominator 16.
Explanation for the incorrect answer.
For decimal to be terminating, the denominator of the fraction must be of the form 2m×5n.
As, 12=22×3
And, 13=1×13
And, 9=32
Thus, for denominator 12,13 and 9, the fraction will never convert to a terminating decimal.
Therefore, the correct option is (B).

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