$-\frac{ 5 }{ 3 } \times \left( -4+10 \right) \times \left( -\frac{ 4 }{ 5 }-3 \frac{ 1 }{ 2 } \right)$
Calculate the sum$-\frac{ 5 }{ 3 } \times 6\left( -\frac{ 4 }{ 5 }-3 \frac{ 1 }{ 2 } \right)$
Convert the mixed number to an improper fraction$-\frac{ 5 }{ 3 } \times 6\left( -\frac{ 4 }{ 5 }-\frac{ 7 }{ 2 } \right)$
Calculate the difference$-\frac{ 5 }{ 3 } \times 6 \times \left( -\frac{ 43 }{ 10 } \right)$
Multiplying two negatives equals a positive: $\left( - \right) \times \left( - \right)=\left( + \right)$$\frac{ 5 }{ 3 } \times 6 \times \frac{ 43 }{ 10 }$
Cancel out the greatest common factor $3$$5 \times 2 \times \frac{ 43 }{ 10 }$
Cancel out the greatest common factor $5$$2 \times \frac{ 43 }{ 2 }$
Cancel out the greatest common factor $2$$43$