Convert the following complex fractions into simple fractions.
$\frac{\frac{1}{5}}{\frac{2}{25}}$

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Solution

While dividing the fraction, multiply the dividend by the reciprocal of the divisor then reduce the fraction into its lowest form.
$= \frac{1}{5} \div \frac{2}{25} = \frac{1}{5} \times \frac{25}{2} = \frac{25}{5 \times 2} = \frac{5}{2}$ $($ ∵ dividing numerator and denominator by $5)$

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