Evaluate: 2 (3)/(4) * 2 (2)/(3)

Expression: $2 \frac{ 3 }{ 4 } \times 2 \frac{ 2 }{ 3 }$

Convert the mixed number to an improper fraction

$\frac{ 11 }{ 4 } \times 2 \frac{ 2 }{ 3 }$

Convert the mixed number to an improper fraction

$\frac{ 11 }{ 4 } \times \frac{ 8 }{ 3 }$

Cancel out the greatest common factor $4$

$11 \times \frac{ 2 }{ 3 }$

Calculate the product

$\begin{align*}&\frac{ 22 }{ 3 } \\&\begin{array} { l }7 \frac{ 1 }{ 3 },& 7.\overset{ \cdot }{ 3 } \end{array}\end{align*}$