Question
Without actual division, find the following rational numbers are terminating decimals. $\frac{31}{375}$

Answer

$\frac{31}{375}$ Denominator of $\frac{31}{375}$ is $375.375=5^3 \times 3$ So, the prime factor $375$ are $5$ and $3 .$ Thus, $\frac{31}{375}$ is not a terminating decimal.

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