Write each of the following rational numbers in the standard form.
$\frac{- 42}{- 98}$

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Solution

We have,
The given rational number is $\frac{- 42}{- 98}$ .
To convert the given rational number in standard form divide numerator and denominator of the given rational number by HCF of numerator and denominator and denominator should be positive.
First, make its denominator positive
$\frac{- 42}{- 98} = \frac{- 42 \times - 1}{- 98 \times - 1} = \frac{42}{98}$
$42 = 2 \times 3 \times 7 98 = 2 \times 7 \times 7$
HCF $(42, 98)$ = $14 .$
Standard form of the given rational number is
$\frac{42 \div 14}{98 \div 14} = \frac{3}{7}$
Hence , $\frac{- 42}{- 98}$ can be written in standard form as $\frac{3}{7} .$

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