Solve y+2/3>1/5

$$y + \frac { 2 } { 3 } > \frac { 1 } { 5 }$$

Solve for y

$$y>-\frac{7}{15}$$

Solution Steps

Subtract \frac{2}{3} from both sides.

$$y>\frac{1}{5}-\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{1}{5} and \frac{2}{3} to fractions with denominator 15.

$$y>\frac{3}{15}-\frac{10}{15}$$

Since \frac{3}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$y>\frac{3-10}{15}$$

Subtract 10 from 3 to get -7.

$$y>-\frac{7}{15}$$