Solve (2/5)(3/4)(1/3)

$$( \frac{ 2 }{ 5 } )( \frac{ 3 }{ 4 } )( \frac{ 1 }{ 3 } )$$

Evaluate

$$\frac{1}{10}=0.1$$

Solution Steps

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

$$\frac{2\times 3}{5\times 4}\times \frac{1}{3}$$

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

$$\frac{6}{20}\times \frac{1}{3}$$

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

$$\frac{3}{10}\times \frac{1}{3}$$

Multiply \frac{3}{10} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{10\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$