Solve 5/16*(-4/17)*32/5

$$\frac { 5 } { 16 } \cdot ( - \frac { 4 } { 17 } ) \cdot 3 \frac { 2 } { 5 }$$

Evaluate

$$-\frac{1}{4}=-0.25$$

Solution Steps

Multiply \frac{5}{16} times -\frac{4}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\left(-4\right)}{16\times 17}\times \frac{3\times 5+2}{5}$$

Do the multiplications in the fraction \frac{5\left(-4\right)}{16\times 17}.

$$\frac{-20}{272}\times \frac{3\times 5+2}{5}$$

Reduce the fraction \frac{-20}{272} to lowest terms by extracting and canceling out 4.

$$-\frac{5}{68}\times \frac{3\times 5+2}{5}$$

Multiply 3 and 5 to get 15.

$$-\frac{5}{68}\times \frac{15+2}{5}$$

Add 15 and 2 to get 17.

$$-\frac{5}{68}\times \frac{17}{5}$$

Multiply -\frac{5}{68} times \frac{17}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 17}{68\times 5}$$

Do the multiplications in the fraction \frac{-5\times 17}{68\times 5}.

$$\frac{-85}{340}$$

Reduce the fraction \frac{-85}{340} to lowest terms by extracting and canceling out 85.

$$-\frac{1}{4}$$

Factor

$$-\frac{1}{4} = -0.25$$