Solve 1/2/-2/31/3/-frac{5{3}}

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

Evaluate

$$\frac{3}{20}=0.15$$

Solution Steps

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

$$\frac{1}{2}\left(-\frac{3}{2}\right)\times \frac{\frac{1}{3}}{-\frac{5}{3}}$$

Multiply \frac{1}{2} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-3\right)}{2\times 2}\times \frac{\frac{1}{3}}{-\frac{5}{3}}$$

Do the multiplications in the fraction \frac{1\left(-3\right)}{2\times 2}.

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

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

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

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

$$-\frac{3}{4}\times \frac{1}{3}\left(-\frac{3}{5}\right)$$

Multiply \frac{1}{3} times -\frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\left(-3\right)}{3\times 5}.

$$-\frac{3}{4}\times \frac{-3}{15}$$

Reduce the fraction \frac{-3}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{4}\left(-\frac{1}{5}\right)$$

Multiply -\frac{3}{4} times -\frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-1\right)}{4\times 5}$$

Do the multiplications in the fraction \frac{-3\left(-1\right)}{4\times 5}.

$$\frac{3}{20}$$

Factor

$$\frac{3}{2 ^ {2} \cdot 5} = 0.15$$