Solve z-11/18=-5/6

$$z - \frac { 11 } { 18 } = - \frac { 5 } { 6 }$$

Solve for z

$$z=-\frac{2}{9}\approx -0.222222222$$

Steps for Solving Linear Equation

Add \frac{11}{18} to both sides.

$$z=-\frac{5}{6}+\frac{11}{18}$$

Least common multiple of 6 and 18 is 18. Convert -\frac{5}{6} and \frac{11}{18} to fractions with denominator 18.

$$z=-\frac{15}{18}+\frac{11}{18}$$

Since -\frac{15}{18} and \frac{11}{18} have the same denominator, add them by adding their numerators.

$$z=\frac{-15+11}{18}$$

Add -15 and 11 to get -4.

$$z=\frac{-4}{18}$$

Reduce the fraction \frac{-4}{18} to lowest terms by extracting and canceling out 2.

$$z=-\frac{2}{9}$$