Question:
Examine whether $\frac{17}{30}$ is a terminating decimal.
Solution:
$\frac{17}{30}=\frac{17}{2 \times 3 \times 5}$
We know that 2, 3 and 5 are not the factors of 17.
So, $\frac{17}{30}$ is in its simplest form.
Also, $30=2 \times 3 \times 5 \neq\left(2^{m} \times 5^{n}\right)$
Hence, $\frac{17}{30}$ is a non-terminating decimal.
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