Question
Without actual division, find the following rational numbers are terminating decimals. $\frac{31}{375}$
✓
Answer
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.
$375 = 5^3 \times 3$
So, the prime factor $375$ are $5$ and $3.$
Thus, $\frac{31}{375}$ is not a terminating decimal.
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