Question 69 (ii)

Reduce the following rational number in its lowest form.
$\frac{91}{- 364}$

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Solution

$\frac{91}{- 364}$ can be written as
$= \frac{91 \div 91}{- 364 \div 91}$ [dividing numerator and denominator by HCF of 91 and 364 i.e. 91]
$= \frac{91 \times \frac{1}{91}}{- 364 \times \frac{1}{91}}$ [ $∵$ Reciprocal of 91 = $\frac{1}{91}$ ]
$= - \frac{1}{4},$ which is the lowest form.

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