Write each of the following rational numbers in the standard form.
$\frac{391}{- 207}$

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Solution

Convert rational numbers in the standard form:
The given rational number is $\frac{391}{- 207}$ .
To convert the given rational number in standard form divide the numerator and denominator of the given rational number by the HCF of the numerator and the denominator and denominator should be positive.
First, make its denominator positive
$\frac{391}{- 207} = \frac{391 \times (- 1)}{- 207 \times (- 1)} = \frac{- 391}{207}$
$391 = 17 \times 23 207 = 3 \times 3 \times 23$
HCF $(391, 207)$ = $23 .$
Standard form of the given rational number is
$\frac{- 391 \div 23}{207 \div 23} = \frac{- 17}{9}$
Hence , $\frac{- 391}{207}$ can be written in standard form as $\frac{- 17}{9} .$

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