Solve x-5/36+5/9=17/18

$$x - \frac { 5 } { 36 } + \frac { 5 } { 9 } = \frac { 17 } { 18 }$$

Solve for x

$$x=\frac{19}{36}\approx 0.527777778$$

Steps for Solving Linear Equation

Least common multiple of 36 and 9 is 36. Convert -\frac{5}{36} and \frac{5}{9} to fractions with denominator 36.

$$x-\frac{5}{36}+\frac{20}{36}=\frac{17}{18}$$

Since -\frac{5}{36} and \frac{20}{36} have the same denominator, add them by adding their numerators.

$$x+\frac{-5+20}{36}=\frac{17}{18}$$

Add -5 and 20 to get 15.

$$x+\frac{15}{36}=\frac{17}{18}$$

Reduce the fraction \frac{15}{36} to lowest terms by extracting and canceling out 3.

$$x+\frac{5}{12}=\frac{17}{18}$$

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

$$x=\frac{17}{18}-\frac{5}{12}$$

Least common multiple of 18 and 12 is 36. Convert \frac{17}{18} and \frac{5}{12} to fractions with denominator 36.

$$x=\frac{34}{36}-\frac{15}{36}$$

Since \frac{34}{36} and \frac{15}{36} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{34-15}{36}$$

Subtract 15 from 34 to get 19.

$$x=\frac{19}{36}$$