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

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

Evaluate

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

Solution Steps

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

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

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

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

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

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

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

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

Factor

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