Write each of the following rational numbers in the standard form.
$\frac{21}{27}$

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Solution

The given rational number is $\frac{21}{27}$ .
To convert the given rational number in standard form divide numerator and denominator of the given rational number by HCF of numerator and denominator.
$21 = 3 \times 7 27 = 3 \times 3 \times 3$
HCF $(21, 27)$ = $3 .$
Standard form of the given rational number is
$\frac{21 \div 3}{27 \div 3} = \frac{7}{9}$
Hence , $\frac{21}{27}$ can be written in standard form as $\frac{7}{9} .$

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