Solve j+5/12<-3/4

$$j + \frac { 5 } { 12 } < - \frac { 3 } { 4 }$$

Solve for j

$$j<-\frac{7}{6}$$

Solution Steps

Subtract \frac{5}{12} from both sides.

$$j<-\frac{3}{4}-\frac{5}{12}$$

Least common multiple of 4 and 12 is 12. Convert -\frac{3}{4} and \frac{5}{12} to fractions with denominator 12.

$$j<-\frac{9}{12}-\frac{5}{12}$$

Since -\frac{9}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$j<\frac{-9-5}{12}$$

Subtract 5 from -9 to get -14.

$$j<\frac{-14}{12}$$

Reduce the fraction \frac{-14}{12} to lowest terms by extracting and canceling out 2.

$$j<-\frac{7}{6}$$