Question

Simplify the following:
$2\frac{2}{3}\left(5\frac{2}{3}+\frac{1}{4}-3\frac{3}{4}\right)$

Answer 1

$2\frac{2}{3}\left(5\frac{2}{3}+\frac{1}{4}-3\frac{3}{4}\right)$
$$\begin{gathered} \Rightarrow \frac{8}{3}\left(\frac{17}{3}+\frac{1}{4}-\frac{15}{4}\right) \\ \Rightarrow \frac{8}{3}\left(\frac{17\times 4+1\times 3-15\times 3}{12}\right) \\ \Rightarrow \frac{8}{3}\left(\frac{68+3-45}{12}\right) \\ \Rightarrow \frac{8}{3}\left(\frac{71-45}{12}\right) \\ \Rightarrow \frac{8}{3}\left(\frac{26}{12}\right) \\ \Rightarrow \frac{8}{3}\times \frac{26}{12} \\ \Rightarrow \frac{52}{9} \end{gathered}$$