Solve lim5/8-2/3+1/2=

$$\lim \frac { 5 } { 8 } - \frac { 2 } { 3 } + \frac { 1 } { 2 } =$$

Evaluate

$$-\frac{1}{6}\approx -0.166666667$$

Solution Steps

The imaginary part of \frac{5}{8} is 0.

$$l\times 0-\frac{2}{3}+\frac{1}{2}$$

Anything times zero gives zero.

$$0-\frac{2}{3}+\frac{1}{2}$$

Subtract \frac{2}{3} from 0 to get -\frac{2}{3}.

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

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

$$-\frac{4}{6}+\frac{3}{6}$$

Since -\frac{4}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{-4+3}{6}$$

Add -4 and 3 to get -1.

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