Solve (-25/8)div5/6=

$$( - \frac { 25 } { 8 } ) \div \frac { 5 } { 6 } =$$

Evaluate

$$-\frac{15}{4}=-3.75$$

Solution Steps

Divide -\frac{25}{8} by \frac{5}{6} by multiplying -\frac{25}{8} by the reciprocal of \frac{5}{6}.

$$-\frac{25}{8}\times \frac{6}{5}$$

Multiply -\frac{25}{8} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-25\times 6}{8\times 5}$$

Do the multiplications in the fraction \frac{-25\times 6}{8\times 5}.

$$\frac{-150}{40}$$

Reduce the fraction \frac{-150}{40} to lowest terms by extracting and canceling out 10.

$$-\frac{15}{4}$$

Factor

$$-\frac{15}{4} = -3\frac{3}{4} = -3.75$$