Solve x+2/3-1/2=17/18

$$x + \frac { 2 } { 3 } - \frac { 1 } { 2 } = \frac { 17 } { 18 }$$

Solve for x

$$x=\frac{7}{9}\approx 0.777777778$$

Steps for Solving Linear Equation

Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{1}{2} to fractions with denominator 6.

$$x+\frac{4}{6}-\frac{3}{6}=\frac{17}{18}$$

Since \frac{4}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{4-3}{6}=\frac{17}{18}$$

Subtract 3 from 4 to get 1.

$$x+\frac{1}{6}=\frac{17}{18}$$

Subtract \frac{1}{6} from both sides.

$$x=\frac{17}{18}-\frac{1}{6}$$

Least common multiple of 18 and 6 is 18. Convert \frac{17}{18} and \frac{1}{6} to fractions with denominator 18.

$$x=\frac{17}{18}-\frac{3}{18}$$

Since \frac{17}{18} and \frac{3}{18} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{17-3}{18}$$

Subtract 3 from 17 to get 14.

$$x=\frac{14}{18}$$

Reduce the fraction \frac{14}{18} to lowest terms by extracting and canceling out 2.

$$x=\frac{7}{9}$$