Question
Without actual division, show that the following rational numbers is a non-terminating repeating decimal:$\frac{64}{455}$
✓
Answer
$\frac{64}{455}=\frac{64}{5\times7\times13}$We know $5, 7 $or $13$ is not a factor of $64$, so it is in its simplest form.
Moreover, $(5 \times 7 \times 13) \neq (2^m \times 5^n)$
Hence, the given rational is non-terminating repeating decimal.
Moreover, $(5 \times 7 \times 13) \neq (2^m \times 5^n)$
Hence, the given rational is non-terminating repeating decimal.
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