Answer
$\frac{43}{200}$
Work Step by Step
$(\frac{1}{6}+\frac{1}{3})^{3}+(\frac{2}{5}\times\frac{3}{4})^{2}$
$=(\frac{1}{6}+\frac{2}{6})^{3}+(\frac{1}{5}\times\frac{3}{2})^{2}$
$=(\frac{3}{6})^{3}+(\frac{3}{10})^{2}$
$=(\frac{1}{2})^{3}+(\frac{3}{10})^{2}$
$=(\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2})+(\frac{3}{10}\times\frac{3}{10})$
$=(\frac{1}{4}\times\frac{1}{2})+\frac{9}{100}$
$=\frac{1}{8}+\frac{9}{100}$
$=\frac{25}{200}+\frac{18}{200}$
$=\frac{43}{200}$
