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. $\frac{31}{375}$ .

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$\frac{31}{375} = \frac{31}{3 \times 5 \times 5 \times 5} = \frac{3}{3 \times 5^{3}}$

The denominator is not in the form of 2p then

\frac{31}{375}

is not a terminating decimal.