Question
Without actual division, find the following rational numbers are terminating decimals.
$\frac{7}{24}$
$\frac{7}{24}$
✓
Answer
$\frac{7}{24}$
Denominator of $\frac{7}{24}$ is 24.
And,
24 = 23 × 3
So, 24 has a prime factor 3, which is other than 2 and 5.
Thus, $\frac{7}{24}$ is not a terminating decimal.
Denominator of $\frac{7}{24}$ is 24.
And,
24 = 23 × 3
So, 24 has a prime factor 3, which is other than 2 and 5.
Thus, $\frac{7}{24}$ is not a terminating decimal.
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