Write each of the following rational numbers in the standard form.
$\frac{- 108}{60}$

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Solution

The given rational number is $- \frac{108}{60}$ .
To convert the given rational number in standard form divide numerator and denominator of the given rational number by HCF of numerator and denominator.
$108 = 2 \times 2 \times 3 \times 3 \times 3 60 = 2 \times 2 \times 3 \times 5$
HCF $(108, 60)$ = $2 \times 2 \times 3 = 12$
Standard form of the given rational number is obtained by dividing both numerator and denominator by $12$
$\frac{- 108 \div 12}{60 \div 12} = \frac{- 9}{5}$
Hence , $\frac{- 108}{60}$ can be written in standard form as $\frac{- 9}{5} .$

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