Solve 2/9*3/5*(-5/2)

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

Evaluate

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

Solution Steps

Multiply \frac{2}{9} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{9\times 5}\left(-\frac{5}{2}\right)$$

Do the multiplications in the fraction \frac{2\times 3}{9\times 5}.

$$\frac{6}{45}\left(-\frac{5}{2}\right)$$

Reduce the fraction \frac{6}{45} to lowest terms by extracting and canceling out 3.

$$\frac{2}{15}\left(-\frac{5}{2}\right)$$

Multiply \frac{2}{15} times -\frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-5\right)}{15\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{-5}{15}$$

Reduce the fraction \frac{-5}{15} to lowest terms by extracting and canceling out 5.

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

Factor

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