Solve 2(-3/2)/(-3/2)-1

$$\frac { 2 ( - 3 / 2 ) } { ( - 3 / 2 ) - 1 }$$

Evaluate

$$\frac{6}{5}=1.2$$

Solution Steps

Cancel out 2 and 2.

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

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

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

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

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

Subtract 2 from -3 to get -5.

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

Divide -3 by -\frac{5}{2} by multiplying -3 by the reciprocal of -\frac{5}{2}.

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

Express -3\left(-\frac{2}{5}\right) as a single fraction.

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

Multiply -3 and -2 to get 6.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$