Solve 2/5div(3/2-1)=

$$\frac { 2 } { 5 } \div ( \frac { 3 } { 2 } - 1 ) =$$

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{3}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 3 to get 1.

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

Divide \frac{2}{5} by \frac{1}{2} by multiplying \frac{2}{5} by the reciprocal of \frac{1}{2}.

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

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

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

Multiply 2 and 2 to get 4.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$