Solve (-5/3)*11/15div5/6

$$(- \frac{ 5 }{ 3 } ) \times \frac{ 11 }{ 15 } \div \frac{ 5 }{ 6 }$$

Evaluate

$$-\frac{22}{15}\approx -1.466666667$$

Solution Steps

Multiply -\frac{5}{3} times \frac{11}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-5\times 11}{3\times 15}}{\frac{5}{6}}$$

Do the multiplications in the fraction \frac{-5\times 11}{3\times 15}.

$$\frac{\frac{-55}{45}}{\frac{5}{6}}$$

Reduce the fraction \frac{-55}{45} to lowest terms by extracting and canceling out 5.

$$\frac{-\frac{11}{9}}{\frac{5}{6}}$$

Divide -\frac{11}{9} by \frac{5}{6} by multiplying -\frac{11}{9} by the reciprocal of \frac{5}{6}.

$$-\frac{11}{9}\times \frac{6}{5}$$

Multiply -\frac{11}{9} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-11\times 6}{9\times 5}$$

Do the multiplications in the fraction \frac{-11\times 6}{9\times 5}.

$$\frac{-66}{45}$$

Reduce the fraction \frac{-66}{45} to lowest terms by extracting and canceling out 3.

$$-\frac{22}{15}$$

Factor

$$-\frac{22}{15} = -1\frac{7}{15} = -1.4666666666666666$$