Solve (-16/5*20/8)-(15/5*-35/5)

$$( \frac { - 16 } { 5 } \times \frac { 20 } { 8 } ) - ( \frac { 15 } { 5 } \times \frac { - 35 } { 5 } )$$

Evaluate

$$13$$

Solution Steps

Fraction \frac{-16}{5} can be rewritten as -\frac{16}{5} by extracting the negative sign.

$$-\frac{16}{5}\times \frac{20}{8}-\frac{15}{5}\times \frac{-35}{5}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$-\frac{16}{5}\times \frac{5}{2}-\frac{15}{5}\times \frac{-35}{5}$$

Multiply -\frac{16}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16\times 5}{5\times 2}-\frac{15}{5}\times \frac{-35}{5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-16}{2}-\frac{15}{5}\times \frac{-35}{5}$$

Divide -16 by 2 to get -8.

$$-8-\frac{15}{5}\times \frac{-35}{5}$$

Divide 15 by 5 to get 3.

$$-8-3\times \frac{-35}{5}$$

Divide -35 by 5 to get -7.

$$-8-3\left(-7\right)$$

Multiply 3 and -7 to get -21.

$$-8-\left(-21\right)$$

The opposite of -21 is 21.

$$-8+21$$

Add -8 and 21 to get 13.

$$13$$

Factor

$$13$$