Simplify $\frac{(\frac{2}{3} - \frac{1}{5}) - \frac{1}{3} \text{of} \frac{2}{5}}{3 - \frac{1}{1 \frac{1}{2}}}$

$\frac{1}{7}$

$\frac{1}{3}$

Correct answer is A

$\frac{2}{3} - \frac{1}{5}$ = $\frac{10 - 3}{15}$

= $\frac{7}{15}$

$\frac{1}{3}$ Of $\frac{2}{5}$ = $\frac{1}{3}$ x $\frac{2}{5}$

= $\frac{2}{15}$

( $\frac{2}{3} - \frac{1}{5}$ ) - $\frac{1}{3}$ of $\frac{2}{5}$

= $\frac{7}{15} - \frac{2}{15}$ = $\frac{1}{3}$

3 - $\frac{1}{1 \frac{1}{2}}$ = 3 - $\frac{2}{3}$

= $\frac{7}{3}$

$\frac{\frac{2}{3} - \frac{1}{5} \text{of} \frac{2}{15}}{3 - \frac{1}{1 \frac{1}{2}}}$

= $\frac{\frac{1}{3}}{\frac{7}{3}}$

= $\frac{1}{3}$ x $\frac{3}{7}$

= $\frac{1}{7}$

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