Solve 2/5*35/16*4/14

$$\frac{ 2 }{ 5 } \times \frac{ 35 }{ 16 } \times \frac{ 4 }{ 14 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Multiply \frac{2}{5} times \frac{35}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 35}{5\times 16}\times \frac{4}{14}$$

Do the multiplications in the fraction \frac{2\times 35}{5\times 16}.

$$\frac{70}{80}\times \frac{4}{14}$$

Reduce the fraction \frac{70}{80} to lowest terms by extracting and canceling out 10.

$$\frac{7}{8}\times \frac{4}{14}$$

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{7}{8} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 7 in both numerator and denominator.

$$\frac{2}{8}$$

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

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$