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

Expression: $4 \frac{ 2 }{ 3 } \times \left( 3 \frac{ 2 }{ 3 }\div3 \right)$

Convert the mixed number to an improper fraction

$\frac{ 14 }{ 3 } \times \left( 3 \frac{ 2 }{ 3 }\div3 \right)$

Convert the mixed number to an improper fraction

$\frac{ 14 }{ 3 } \times \left( \frac{ 11 }{ 3 }\div3 \right)$

Dividing is equivalent to multiplying by the reciprocal

$\frac{ 14 }{ 3 } \times \left( \frac{ 11 }{ 3 } \times \frac{ 1 }{ 3 } \right)$

Multiply the fractions

$\frac{ 14 }{ 3 } \times \frac{ 11 }{ 9 }$

Multiply the fractions

$\begin{align*}&\frac{ 154 }{ 27 } \\&\begin{array} { l }5 \frac{ 19 }{ 27 },& 5.\overset{ \cdot }{ 7 } 0\overset{ \cdot }{ 3 } \end{array}\end{align*}$