Solve -5/6div-3/2

$$- \frac{ 5 }{ 6 } \div - \frac{ 3 }{ 2 }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Divide -\frac{5}{6} by -\frac{3}{2} by multiplying -\frac{5}{6} by the reciprocal of -\frac{3}{2}.

$$-\frac{5}{6}\left(-\frac{2}{3}\right)$$

Multiply -\frac{5}{6} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-2\right)}{6\times 3}$$

Do the multiplications in the fraction \frac{-5\left(-2\right)}{6\times 3}.

$$\frac{10}{18}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$