Solve 1/2=-5/6*1+m

$$\frac { 1 } { 2 } = - \frac { 5 } { 6 } \times 1 + m$$

Solve for m

$$m = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Multiply -\frac{5}{6} and 1 to get -\frac{5}{6}.

$$\frac{1}{2}=-\frac{5}{6}+m$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{5}{6}+m=\frac{1}{2}$$

Add \frac{5}{6} to both sides.

$$m=\frac{1}{2}+\frac{5}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{5}{6} to fractions with denominator 6.

$$m=\frac{3}{6}+\frac{5}{6}$$

Since \frac{3}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$m=\frac{3+5}{6}$$

Add 3 and 5 to get 8.

$$m=\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$m=\frac{4}{3}$$