Solve 91/17*(-85/13)*(-25/20)*(-3/7)

$$\frac { 91 } { 17 } \times ( - \frac { 85 } { 13 } ) \times ( - \frac { 25 } { 20 } ) \times ( - \frac { 3 } { 7 } )$$

Evaluate

$$-\frac{75}{4}=-18.75$$

Solution Steps

Multiply \frac{91}{17} times -\frac{85}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{91\left(-85\right)}{17\times 13}\left(-\frac{25}{20}\right)\left(-\frac{3}{7}\right)$$

Do the multiplications in the fraction \frac{91\left(-85\right)}{17\times 13}.

$$\frac{-7735}{221}\left(-\frac{25}{20}\right)\left(-\frac{3}{7}\right)$$

Divide -7735 by 221 to get -35.

$$-35\left(-\frac{25}{20}\right)\left(-\frac{3}{7}\right)$$

Reduce the fraction \frac{25}{20} to lowest terms by extracting and canceling out 5.

$$-35\left(-\frac{5}{4}\right)\left(-\frac{3}{7}\right)$$

Express -35\left(-\frac{5}{4}\right) as a single fraction.

$$\frac{-35\left(-5\right)}{4}\left(-\frac{3}{7}\right)$$

Multiply -35 and -5 to get 175.

$$\frac{175}{4}\left(-\frac{3}{7}\right)$$

Multiply \frac{175}{4} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{175\left(-3\right)}{4\times 7}$$

Do the multiplications in the fraction \frac{175\left(-3\right)}{4\times 7}.

$$\frac{-525}{28}$$

Reduce the fraction \frac{-525}{28} to lowest terms by extracting and canceling out 7.

$$-\frac{75}{4}$$

Factor

$$-\frac{75}{4} = -18\frac{3}{4} = -18.75$$