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

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

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

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

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

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

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

Add 3 and 1 to get 4.

$$\frac{1}{2}-\frac{4}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{3}{6}-\frac{8}{6}$$

Since \frac{3}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-8}{6}$$

Subtract 8 from 3 to get -5.

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

Factor

$$-\frac{5}{6} = -0.8333333333333334$$