Solve (-15/6)+m=-2/9

$$( - \frac { 15 } { 6 } ) + m = - \frac { 2 } { 9 }$$

Solve for m

$$m = \frac{41}{18} = 2\frac{5}{18} \approx 2.277777778$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{2}+m=-\frac{2}{9}$$

Add \frac{5}{2} to both sides.

$$m=-\frac{2}{9}+\frac{5}{2}$$

Least common multiple of 9 and 2 is 18. Convert -\frac{2}{9} and \frac{5}{2} to fractions with denominator 18.

$$m=-\frac{4}{18}+\frac{45}{18}$$

Since -\frac{4}{18} and \frac{45}{18} have the same denominator, add them by adding their numerators.

$$m=\frac{-4+45}{18}$$

Add -4 and 45 to get 41.

$$m=\frac{41}{18}$$