Solve 2/5*3/4*2/3=

$$\frac { 2 } { 5 } \cdot \frac { 3 } { 4 } \cdot \frac { 2 } { 3 } =$$

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

Multiply \frac{2}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 3}{5\times 4}.

$$\frac{6}{20}\times \frac{2}{3}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{3}{10}\times \frac{2}{3}$$

Multiply \frac{3}{10} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{10\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{10}$$

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

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$