CBSE BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
Question
Without actual division, show that the following rational numbers is a non-terminating repeating decimal:$\frac{32}{147}$
✓
Answer
$\frac{32}{147}=\frac{32}{3\times7^2}$We know either 3 or 7 is not a factor of 32, so it is in its simplest form.
Moreover, $\left(3 \times 7^2\right) \neq\left(2^m \times 5^n\right)$
Hence, the given rational is non-terminating repeating decimal.
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