Solve 2/4*4/5*2/5*5/14

$$\frac { 2 } { 4 } * \frac { 4 } { 5 } \times \frac { 2 } { 5 } * \frac { 5 } { 14 }$$

Evaluate

$$\frac{2}{35}\approx 0.057142857$$

Solution Steps

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

$$\frac{1}{2}\times \frac{4}{5}\times \frac{2}{5}\times \frac{5}{14}$$

Multiply \frac{1}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{2\times 5}\times \frac{2}{5}\times \frac{5}{14}$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 5}.

$$\frac{4}{10}\times \frac{2}{5}\times \frac{5}{14}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times \frac{2}{5}\times \frac{5}{14}$$

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

$$\frac{2\times 2}{5\times 5}\times \frac{5}{14}$$

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

$$\frac{4}{25}\times \frac{5}{14}$$

Multiply \frac{4}{25} times \frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 5}{25\times 14}$$

Do the multiplications in the fraction \frac{4\times 5}{25\times 14}.

$$\frac{20}{350}$$

Reduce the fraction \frac{20}{350} to lowest terms by extracting and canceling out 10.

$$\frac{2}{35}$$

Factor

$$\frac{2}{5 \cdot 7} = 0.05714285714285714$$