Solve 5/6div(-3/4)

$$\frac { 5 } { 6 } \div ( - \frac { 3 } { 4 } )$$

Evaluate

$$-\frac{10}{9}\approx -1.111111111$$

Solution Steps

Divide \frac{5}{6} by -\frac{3}{4} by multiplying \frac{5}{6} by the reciprocal of -\frac{3}{4}.

$$\frac{5}{6}\left(-\frac{4}{3}\right)$$

Multiply \frac{5}{6} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\left(-4\right)}{6\times 3}$$

Do the multiplications in the fraction \frac{5\left(-4\right)}{6\times 3}.

$$\frac{-20}{18}$$

Reduce the fraction \frac{-20}{18} to lowest terms by extracting and canceling out 2.

$$-\frac{10}{9}$$

Factor

$$-\frac{10}{9} = -1\frac{1}{9} = -1.1111111111111112$$