Question

Convert the following complex fractions into simple fractions.

$\frac{{\displaystyle \frac{9}{10}}}{{\displaystyle \frac{60}{44}}}$

Answer 1

While dividing the fraction, multiply the dividend by the reciprocal of the divisor then reduce the fraction into its lowest form.

$$\begin{gathered} =\frac{9}{10}÷\frac{60}{44} \\ =\frac{9}{10}\times \frac{44}{60} \\ =\frac{9\times 44}{10\times 60} \\ =\frac{33}{50} \end{gathered}$$ $($∵ dividing numerator and denominator by $12)$