Solve 2/5*4/5*4/8

$$\frac { 2 } { 5 } \times \frac { 4 } { 5 } \times \frac { 4 } { 8 }$$

Evaluate

$$\frac{4}{25}=0.16$$

Solution Steps

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

$$\frac{2\times 4}{5\times 5}\times \frac{4}{8}$$

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

$$\frac{8}{25}\times \frac{4}{8}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{8}{25}\times \frac{1}{2}$$

Multiply \frac{8}{25} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 1}{25\times 2}$$

Do the multiplications in the fraction \frac{8\times 1}{25\times 2}.

$$\frac{8}{50}$$

Reduce the fraction \frac{8}{50} to lowest terms by extracting and canceling out 2.

$$\frac{4}{25}$$

Factor

$$\frac{2 ^ {2}}{5 ^ {2}} = 0.16$$