Solve m-1/5=-8/15

$$m - \frac { 1 } { 5 } = - \frac { 8 } { 15 }$$

Solve for m

$$m=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Add \frac{1}{5} to both sides.

$$m=-\frac{8}{15}+\frac{1}{5}$$

Least common multiple of 15 and 5 is 15. Convert -\frac{8}{15} and \frac{1}{5} to fractions with denominator 15.

$$m=-\frac{8}{15}+\frac{3}{15}$$

Since -\frac{8}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

$$m=\frac{-8+3}{15}$$

Add -8 and 3 to get -5.

$$m=\frac{-5}{15}$$

Reduce the fraction \frac{-5}{15} to lowest terms by extracting and canceling out 5.

$$m=-\frac{1}{3}$$