Solve x+5/6=10/3

$$x + \frac { 5 } { 6 } = \frac { 10 } { 3 }$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Subtract \frac{5}{6} from both sides.

$$x=\frac{10}{3}-\frac{5}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{10}{3} and \frac{5}{6} to fractions with denominator 6.

$$x=\frac{20}{6}-\frac{5}{6}$$

Since \frac{20}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{20-5}{6}$$

Subtract 5 from 20 to get 15.

$$x=\frac{15}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$x=\frac{5}{2}$$