Solve 2/5*5/7*1/2

$$\frac { 2 } { 5 } \times \frac { 5 } { 7 } \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{1}{7}\approx 0.142857143$$

Solution Steps

Multiply \frac{2}{5} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{5\times 7}\times \frac{1}{2}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2}{7}\times \frac{1}{2}$$

Multiply \frac{2}{7} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{7\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1}{7}$$

Factor

$$\frac{1}{7} = 0.14285714285714285$$