Solve 3(-1/2)-1/frac{-1{2}+2}=

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

Evaluate

$$-\frac{5}{3}\approx -1.666666667$$

Solution Steps

Express 3\left(-\frac{1}{2}\right) as a single fraction.

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

Multiply 3 and -1 to get -3.

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

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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

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

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

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

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

Subtract 2 from -3 to get -5.

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

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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

Convert 2 to fraction \frac{4}{2}.

$$\frac{-\frac{5}{2}}{-\frac{1}{2}+\frac{4}{2}}$$

Since -\frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{-\frac{5}{2}}{\frac{-1+4}{2}}$$

Add -1 and 4 to get 3.

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

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

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

Multiply -\frac{5}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 2 in both numerator and denominator.

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

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

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

Factor

$$-\frac{5}{3} = -1\frac{2}{3} = -1.6666666666666667$$