3 3/8 x 2 2/3

3 3/8 x 2 2/3 = 9

I.

$$\small{\text{
\begin{array}{rcl}
3 \frac{3}{8} \times 2 \frac{2}{3} &=&
\left(
\frac{3*8+3}{8}
\right)
\times
\left(
\frac{2*3+2}{3}
\right)\\\\
&=&
\left(
\frac{24+3}{8}
\right)
\times
\left(
\frac{6+2}{3}
\right)\\\\
&=&
\left(
\frac{27}{8}
\right)
\times
\left(
\frac{8}{3}
\right)\\\\
&=&
\frac{27}{ \textcolor[rgb]{1,0,0}{\not}{8}}
*\frac{ \textcolor[rgb]{1,0,0}{\not}{8}}{3}
\\\\
&=& \frac{27}{3}\\\\
&=& \frac{\textcolor[rgb]{1,0,0}{\not}{3}*9}{\textcolor[rgb]{1,0,0}{\not}{3}}\\\\
&=& 9
\end{array}
}}$$

II.

$$\small{\text{
\begin{array}{rcl}
3 \frac{3}{8} \times 2 \frac{2}{3} &=&
\left(
3+ \frac{3}{8}
\right)
\times
\left(
2+\frac{2}{3}
\right)\\\\
&=&
3*2+\textcolor[rgb]{1,0,0}{\not} {3}*\frac{2}{\textcolor[rgb]{1,0,0}{\not}{3}} +\frac{3}{8}*2+\frac{\textcolor[rgb]{1,0,0}{\not}3}{8}*\frac{2}{\textcolor[rgb]{1,0,0}{\not}3}
\\\\
&=&
6+2+\frac{6}{8}+\frac{2}{8}\\\\
&=&
8+\frac{8}{8}\\\\
&=&
8+1\\\\
&=&
9
\end{array}
}}$$