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Real Numbers — Maths STD 10 — Question

Gujarat BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
Question
Without actual division, show that the following rational numbers is a non-terminating repeating decimal:
$\frac{9}{35}$
✓

Answer

$\frac{9}{35}=\frac{9}{5\times7}$
We know either $5$ or $7$ is not a factor of $9$, so it is in its simplest form.
Moreover, $(5 × 7) ≠ (2^m× 5^n)$
Hence, the given rational is non-terminating repeating decimal.

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