Solve (-2/3)div(-1/4)*(-5/8)

$$( - \frac { 2 } { 3 } ) \div ( - \frac { 1 } { 4 } ) \times ( - \frac { 5 } { 8 } )$$

Evaluate

$$-\frac{5}{3}\approx -1.666666667$$

Solution Steps

Divide -\frac{2}{3} by -\frac{1}{4} by multiplying -\frac{2}{3} by the reciprocal of -\frac{1}{4}.

$$-\frac{2}{3}\left(-4\right)\left(-\frac{5}{8}\right)$$

Express -\frac{2}{3}\left(-4\right) as a single fraction.

$$\frac{-2\left(-4\right)}{3}\left(-\frac{5}{8}\right)$$

Multiply -2 and -4 to get 8.

$$\frac{8}{3}\left(-\frac{5}{8}\right)$$

Multiply \frac{8}{3} times -\frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\left(-5\right)}{3\times 8}$$

Cancel out 8 in both numerator and denominator.

$$\frac{-5}{3}$$

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

$$-\frac{5}{3}$$

Factor

$$-\frac{5}{3} = -1\frac{2}{3} = -1.6666666666666667$$