Question

Which is greater: $\left(\frac{1}{2}\right)\text{of}\left(\frac{6}{7}\right)or\left(\frac{2}{3}\right)\text{of}\left(\frac{3}{7}\right)$

Answer 1

Determine the greater: $\left(\frac{1}{2}\right)\text{of}\left(\frac{6}{7}\right)or\left(\frac{2}{3}\right)\text{of}\left(\frac{3}{7}\right)$ number.

Separate the given value into two parts and after that calculate the value.

$\left(\frac{1}{2}\right)\text{of}\left(\frac{6}{7}\right)and\left(\frac{2}{3}\right)\text{of}\left(\frac{3}{7}\right)$

Solving equation $\left(\frac{1}{2}\right)\text{of}\left(\frac{6}{7}\right)$:

$$\begin{gathered} \left(\frac{1}{2}\right)\text{of}\left(\frac{6}{7}\right)=\left(\frac{1}{2}\right)\times \left(\frac{6}{7}\right) \\ \Rightarrow =\frac{3}{7} \end{gathered}$$

Solving equation $\left(\frac{2}{3}\right)\text{of}\left(\frac{3}{7}\right)$:

$$\begin{gathered} \left(\frac{2}{3}\right)\text{of}\left(\frac{3}{7}\right)=\left(\frac{2}{3}\right)\times \left(\frac{3}{7}\right) \\ \Rightarrow =\frac{2}{7} \end{gathered}$$

On comparing the value that is $\frac{3}{7}and\frac{2}{7}$ we get the value that is $\left(\frac{3}{7}\right)>\left(\frac{2}{7}\right)$.

Hence, the $\left(\frac{1}{2}\right)of\left(\frac{6}{7}\right)$ is greater than $\left(\frac{2}{3}\right)of\left(\frac{3}{7}\right)$.