Solve -3/5div(-9/10)div(-6)=

$$- \frac { 3 } { 5 } \div ( - \frac { 9 } { 10 } ) \div ( - 6 ) =$$

Evaluate

$$-\frac{1}{9}\approx -0.111111111$$

Solution Steps

Express \frac{\frac{-\frac{3}{5}}{-\frac{9}{10}}}{-6} as a single fraction.

$$\frac{-\frac{3}{5}}{-\frac{9}{10}\left(-6\right)}$$

Express -\frac{9}{10}\left(-6\right) as a single fraction.

$$\frac{-\frac{3}{5}}{\frac{-9\left(-6\right)}{10}}$$

Multiply -9 and -6 to get 54.

$$\frac{-\frac{3}{5}}{\frac{54}{10}}$$

Reduce the fraction \frac{54}{10} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{3}{5}}{\frac{27}{5}}$$

Divide -\frac{3}{5} by \frac{27}{5} by multiplying -\frac{3}{5} by the reciprocal of \frac{27}{5}.

$$-\frac{3}{5}\times \frac{5}{27}$$

Multiply -\frac{3}{5} times \frac{5}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 5}{5\times 27}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-3}{27}$$

Reduce the fraction \frac{-3}{27} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{9}$$

Factor

$$-\frac{1}{9} = -0.1111111111111111$$