Solve 1/frac{frac{5{4}}{-2/3}}

$$\frac { 1 } { \frac { \frac { 5 } { 4 } } { - \frac { 2 } { 3 } } }$$

Evaluate

$$-\frac{8}{15}\approx -0.533333333$$

Solution Steps

Divide 1 by \frac{\frac{5}{4}}{-\frac{2}{3}} by multiplying 1 by the reciprocal of \frac{\frac{5}{4}}{-\frac{2}{3}}.

$$\frac{-\frac{2}{3}}{\frac{5}{4}}$$

Divide -\frac{2}{3} by \frac{5}{4} by multiplying -\frac{2}{3} by the reciprocal of \frac{5}{4}.

$$-\frac{2}{3}\times \frac{4}{5}$$

Multiply -\frac{2}{3} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 4}{3\times 5}$$

Do the multiplications in the fraction \frac{-2\times 4}{3\times 5}.

$$\frac{-8}{15}$$

Fraction \frac{-8}{15} can be rewritten as -\frac{8}{15} by extracting the negative sign.

$$-\frac{8}{15}$$

Factor

$$-\frac{8}{15} = -0.5333333333333333$$