Solve 5/6div-10/11

$$\frac{ 5 }{ 6 } \div - \frac{ 10 }{ 11 }$$

Evaluate

$$-\frac{11}{12}\approx -0.916666667$$

Solution Steps

Divide \frac{5}{6} by -\frac{10}{11} by multiplying \frac{5}{6} by the reciprocal of -\frac{10}{11}.

$$\frac{5}{6}\left(-\frac{11}{10}\right)$$

Multiply \frac{5}{6} times -\frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\left(-11\right)}{6\times 10}$$

Do the multiplications in the fraction \frac{5\left(-11\right)}{6\times 10}.

$$\frac{-55}{60}$$

Reduce the fraction \frac{-55}{60} to lowest terms by extracting and canceling out 5.

$$-\frac{11}{12}$$

Factor

$$-\frac{11}{12} = -0.9166666666666666$$