Solve (2/3)(9/4)(2/5)

$$( \frac { 2 } { 3 } ) ( \frac { 9 } { 4 } ) ( \frac { 2 } { 5 } )$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Multiply \frac{2}{3} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 9}{3\times 4}\times \frac{2}{5}$$

Do the multiplications in the fraction \frac{2\times 9}{3\times 4}.

$$\frac{18}{12}\times \frac{2}{5}$$

Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.

$$\frac{3}{2}\times \frac{2}{5}$$

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

$$\frac{3\times 2}{2\times 5}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$