Solve 2div2/5-2/5div2

$$2 \div \frac { 2 } { 5 } - \frac { 2 } { 5 } \div 2$$

Evaluate

$$\frac{24}{5}=4.8$$

Solution Steps

Divide 2 by \frac{2}{5} by multiplying 2 by the reciprocal of \frac{2}{5}.

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

Cancel out 2 and 2.

$$5-\frac{\frac{2}{5}}{2}$$

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

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

Cancel out 2 in both numerator and denominator.

$$5-\frac{1}{5}$$

Convert 5 to fraction \frac{25}{5}.

$$\frac{25}{5}-\frac{1}{5}$$

Since \frac{25}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-1}{5}$$

Subtract 1 from 25 to get 24.

$$\frac{24}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{5} = 4\frac{4}{5} = 4.8$$