Solve 2/5*3/8*2/5*7/8

$$\frac { 2 } { 5 } \times \frac { 3 } { 8 } \times \frac { 2 } { 5 } \times \frac { 7 } { 8 }$$

Evaluate

$$\frac{21}{400}=0.0525$$

Solution Steps

Multiply \frac{2}{5} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{5\times 8}\times \frac{2}{5}\times \frac{7}{8}$$

Do the multiplications in the fraction \frac{2\times 3}{5\times 8}.

$$\frac{6}{40}\times \frac{2}{5}\times \frac{7}{8}$$

Reduce the fraction \frac{6}{40} to lowest terms by extracting and canceling out 2.

$$\frac{3}{20}\times \frac{2}{5}\times \frac{7}{8}$$

Multiply \frac{3}{20} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{20\times 5}\times \frac{7}{8}$$

Do the multiplications in the fraction \frac{3\times 2}{20\times 5}.

$$\frac{6}{100}\times \frac{7}{8}$$

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$\frac{3}{50}\times \frac{7}{8}$$

Multiply \frac{3}{50} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 7}{50\times 8}$$

Do the multiplications in the fraction \frac{3\times 7}{50\times 8}.

$$\frac{21}{400}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {4} \cdot 5 ^ {2}} = 0.0525$$