$\frac{ 2 }{ 3 } \times \left( 4 \times \frac{ 9 }{ 5 } \right)+\left( \frac{ 7 }{ 8 }-\frac{ 5 }{ 6 }-\frac{ 1 }{ 3 } \right)$
Calculate the difference$\frac{ 2 }{ 3 } \times \left( 4 \times \frac{ 9 }{ 5 } \right)+\left( -\frac{ 7 }{ 24 } \right)$
Calculate the product$\frac{ 2 }{ 3 } \times \frac{ 36 }{ 5 }+\left( -\frac{ 7 }{ 24 } \right)$
When there is a $+$ in front of an expression in parentheses, the expression remains the same$\frac{ 2 }{ 3 } \times \frac{ 36 }{ 5 }-\frac{ 7 }{ 24 }$
Cancel out the greatest common factor $3$$2 \times \frac{ 12 }{ 5 }-\frac{ 7 }{ 24 }$
Calculate the product$\frac{ 24 }{ 5 }-\frac{ 7 }{ 24 }$
Subtract the fractions$\begin{align*}&\frac{ 541 }{ 120 } \\&\begin{array} { l }4 \frac{ 61 }{ 120 },& 4.508\overset{ \cdot }{ 3 } \end{array}\end{align*}$