Calculate: 5 (1)/(2) \times 2 (4)/(5)

Expression: $5 \frac{ 1 }{ 2 } \times 2 \frac{ 4 }{ 5 }$

Convert the mixed number to an improper fraction

$\frac{ 11 }{ 2 } \times 2 \frac{ 4 }{ 5 }$

Convert the mixed number to an improper fraction

$\frac{ 11 }{ 2 } \times \frac{ 14 }{ 5 }$

Cancel out the greatest common factor $2$

$11 \times \frac{ 7 }{ 5 }$

Calculate the product

$\begin{align*}&\frac{ 77 }{ 5 } \\&\begin{array} { l }15 \frac{ 2 }{ 5 },& 15.4\end{array}\end{align*}$