Solve (2/5-2/5div2)*5/3

$$( \frac { 2 } { 5 } - \frac { 2 } { 5 } \div 2 ) \times \frac { 5 } { 3 }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Express \frac{\frac{2}{5}}{2} as a single fraction.

$$\left(\frac{2}{5}-\frac{2}{5\times 2}\right)\times \frac{5}{3}$$

Cancel out 2 in both numerator and denominator.

$$\left(\frac{2}{5}-\frac{1}{5}\right)\times \frac{5}{3}$$

Since \frac{2}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{5}\times \frac{5}{3}$$

Subtract 1 from 2 to get 1.

$$\frac{1}{5}\times \frac{5}{3}$$

Multiply \frac{1}{5} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{5\times 3}$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$