Question

Which is greater? $\frac{1}{2}\mathrm{of}\frac{6}{7}\mathrm{or}\frac{2}{3}\mathrm{of}\frac{3}{7}$

Answer 1

$$\begin{gathered} \frac{1}{2}\mathrm{of}\frac{6}{7}=\frac{1}{2}\times \frac{6}{7}=\frac{6}{14} \\ \frac{2}{3}\mathrm{of}\frac{3}{7}=\frac{2}{3}\times \frac{3}{7}=\frac{2}{7} \end{gathered}$$
$\mathrm{c}\mathrm{onvert}\frac{2}{7}\mathrm{to}\mathrm{its}\mathrm{equivalent}\mathrm{fraction}\mathrm{with}\mathrm{denominator}\mathrm{as}14$
$\frac{2}{7}=\frac{2}{7}\times \frac{2}{2}=\frac{4}{14}$
$we\mathrm{know}6>4$
$\Rightarrow \frac{6}{14}>\frac{2}{7}$
$\Rightarrow \frac{1}{2}\mathrm{of}\frac{6}{7}>\frac{2}{3}\mathrm{of}\frac{3}{7}$