Solve 5/6=m-7/12

$$\frac { 5 } { 6 } = m - \frac { 7 } { 12 }$$

Solve for m

$$m = \frac{17}{12} = 1\frac{5}{12} \approx 1.416666667$$

Steps for Solving Linear Equation

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

$$m-\frac{7}{12}=\frac{5}{6}$$

Add \frac{7}{12} to both sides.

$$m=\frac{5}{6}+\frac{7}{12}$$

Least common multiple of 6 and 12 is 12. Convert \frac{5}{6} and \frac{7}{12} to fractions with denominator 12.

$$m=\frac{10}{12}+\frac{7}{12}$$

Since \frac{10}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.

$$m=\frac{10+7}{12}$$

Add 10 and 7 to get 17.

$$m=\frac{17}{12}$$