Solve 7/8=m-1/2

$$\frac { 7 } { 8 } = m - \frac { 1 } { 2 }$$

Solve for m

$$m = \frac{11}{8} = 1\frac{3}{8} = 1.375$$

Steps for Solving Linear Equation

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

$$m-\frac{1}{2}=\frac{7}{8}$$

Add \frac{1}{2} to both sides.

$$m=\frac{7}{8}+\frac{1}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{7}{8} and \frac{1}{2} to fractions with denominator 8.

$$m=\frac{7}{8}+\frac{4}{8}$$

Since \frac{7}{8} and \frac{4}{8} have the same denominator, add them by adding their numerators.

$$m=\frac{7+4}{8}$$

Add 7 and 4 to get 11.

$$m=\frac{11}{8}$$