Solve (-2/3)*(-9/15)*5/6=

$$( - \frac { 2 } { 3 } ) \times ( - \frac { 9 } { 15 } ) \times \frac { 5 } { 6 } =$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.

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

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

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

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

$$\frac{6}{15}\times \frac{5}{6}$$

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{2}{5}\times \frac{5}{6}$$

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

$$\frac{2\times 5}{5\times 6}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$