Solve -9/25/frac{4{5}}

$$\frac { - \frac { 9 } { 25 } } { \frac { 4 } { 5 } }$$

Evaluate

$$-\frac{9}{20}=-0.45$$

Solution Steps

Divide -\frac{9}{25} by \frac{4}{5} by multiplying -\frac{9}{25} by the reciprocal of \frac{4}{5}.

$$-\frac{9}{25}\times \frac{5}{4}$$

Multiply -\frac{9}{25} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\times 5}{25\times 4}$$

Do the multiplications in the fraction \frac{-9\times 5}{25\times 4}.

$$\frac{-45}{100}$$

Reduce the fraction \frac{-45}{100} to lowest terms by extracting and canceling out 5.

$$-\frac{9}{20}$$

Factor

$$-\frac{9}{20} = -0.45$$