Solve -2*1/6+1/-frac{1{2}}

$$\frac{ -2 \times \frac{ 1 }{ 6 } +1 }{ - \frac{ 1 }{ 2 } }$$

Evaluate

$$-\frac{4}{3}\approx -1.333333333$$

Solution Steps

Multiply -2 and \frac{1}{6} to get \frac{-2}{6}.

$$\frac{\frac{-2}{6}+1}{-\frac{1}{2}}$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

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

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

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

Since -\frac{1}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

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

Add -1 and 3 to get 2.

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

Divide \frac{2}{3} by -\frac{1}{2} by multiplying \frac{2}{3} by the reciprocal of -\frac{1}{2}.

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

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

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

Multiply 2 and -2 to get -4.

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

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

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

Factor

$$-\frac{4}{3} = -1\frac{1}{3} = -1.3333333333333333$$