Without actual division, state whether the following rational number is terminating decimal or not. .

Foundation

Mathematics Foundation

Properties of Real Number

Recurring Decimal Number

Rational Numbers

Question

Without actual division, state whether the following rational number is terminating decimal or not. $\frac{5}{12}$ .

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$\frac{5}{12} = \frac{5}{2 \times 2 \times 3} = \frac{5}{2^{2} \times 3}$

\frac{5}{12}

Has the prime factors in the denominator as 2 and 3.

Thus

\frac{5}{12}

is not a terminating decimal.