Solve 1/2*-frac{1{2}}-2/3*-frac{1{2}}=

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

Evaluate

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

Solution Steps

Cancel out 2 and 2.

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

Divide 1 by -1 to get -1.

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

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

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

Multiply 3 and -1 to get -3.

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

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

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

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

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

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

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

Multiply 2 and -2 to get -4.

$$-1-\frac{-4}{3}$$

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$-1-\left(-\frac{4}{3}\right)$$

The opposite of -\frac{4}{3} is \frac{4}{3}.

$$-1+\frac{4}{3}$$

Convert -1 to fraction -\frac{3}{3}.

$$-\frac{3}{3}+\frac{4}{3}$$

Since -\frac{3}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

$$\frac{-3+4}{3}$$

Add -3 and 4 to get 1.

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

Factor

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