Answer
false
Work Step by Step
To determine whether $\frac{\frac{2}{3}}{2}=\frac{2\frac{7}{10}}{8}$ is true, determine whether the cross products are equal.
$\frac{2}{3}\times8 = 2\times2\frac{7}{10}$
$\frac{2}{3}\times\frac{8}{1} = \frac{2}{1}\times\frac{27}{10}$
$\frac{16}{3} = \frac{54}{10}$
$\frac{16\times10}{3\times10} = \frac{54\times3}{10\times\times3}$
$\frac{160}{30} = \frac{162}{30}$
The cross products are NOT equal so the proportion is false.