Solve 1/2--1/3-k=0

$$\frac { 1 } { 2 } - \frac { - 1 } { 3 } - k = 0$$

Solve for k

$$k=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$\frac{1}{2}-\left(-\frac{1}{3}\right)-k=0$$

The opposite of -\frac{1}{3} is \frac{1}{3}.

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

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

$$\frac{3}{6}+\frac{2}{6}-k=0$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{6}-k=0$$

Add 3 and 2 to get 5.

$$\frac{5}{6}-k=0$$

Subtract \frac{5}{6} from both sides. Anything subtracted from zero gives its negation.

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

Multiply both sides by -1.

$$k=\frac{5}{6}$$