$2\frac{2}{3}= \frac{2\times 3+2}{3}=\frac{8}{3}$
$3\frac{1}{4}= \frac{3\times 4+1}{4}=\frac{13}{4}$
$4\frac{2}{5}= \frac{4\times 5+2}{5}=\frac{22}{5}$
$5\frac{3}{7}= \frac{5\times 7+3}{7}=\frac{38}{7}$
$2\frac{2}{3}= \frac{2\times 3+2}{3}=\frac{8}{3}$
$3\frac{1}{4}= \frac{3\times 4+1}{4}=\frac{13}{4}$
$4\frac{2}{5}= \frac{4\times 5+2}{5}=\frac{22}{5}$
$5\frac{3}{7}= \frac{5\times 7+3}{7}=\frac{38}{7}$