Solve 2/5=5/6-m

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

Solve for m

$$m=\frac{13}{30}\approx 0.433333333$$

Steps for Solving Linear Equation

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

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

Subtract \frac{5}{6} from both sides.

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

Least common multiple of 5 and 6 is 30. Convert \frac{2}{5} and \frac{5}{6} to fractions with denominator 30.

$$-m=\frac{12}{30}-\frac{25}{30}$$

Since \frac{12}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.

$$-m=\frac{12-25}{30}$$

Subtract 25 from 12 to get -13.

$$-m=-\frac{13}{30}$$

Multiply both sides by -1.

$$m=\frac{13}{30}$$