Solve (-4/5)div(-0.6)*5/8

$$( - \frac { 4 } { 5 } ) \div ( - 0.6 ) \times \frac { 5 } { 8 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Express \frac{-\frac{4}{5}}{-0.6} as a single fraction.

$$\frac{-4}{5\left(-0.6\right)}\times \frac{5}{8}$$

Multiply 5 and -0.6 to get -3.

$$\frac{-4}{-3}\times \frac{5}{8}$$

Fraction \frac{-4}{-3} can be simplified to \frac{4}{3} by removing the negative sign from both the numerator and the denominator.

$$\frac{4}{3}\times \frac{5}{8}$$

Multiply \frac{4}{3} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 5}{3\times 8}$$

Do the multiplications in the fraction \frac{4\times 5}{3\times 8}.

$$\frac{20}{24}$$

Reduce the fraction \frac{20}{24} to lowest terms by extracting and canceling out 4.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$