Calculate: 8 (1)/(2)-2 (2)/(3)

Expression: $8 \frac{ 1 }{ 2 }-2 \frac{ 2 }{ 3 }$

Convert the mixed number to an improper fraction

$\frac{ 17 }{ 2 }-2 \frac{ 2 }{ 3 }$

Convert the mixed number to an improper fraction

$\frac{ 17 }{ 2 }-\frac{ 8 }{ 3 }$

Subtract the fractions

$\begin{align*}&\frac{ 35 }{ 6 } \\&\begin{array} { l }5 \frac{ 5 }{ 6 },& 5.8\overset{ \cdot }{ 3 } \end{array}\end{align*}$