Solve 1/3+a=13/30

$$\frac { 1 } { 3 } + a = \frac { 13 } { 30 }$$

Solve for a

$$a=\frac{1}{10}=0.1$$

Steps for Solving Linear Equation

Subtract \frac{1}{3} from both sides.

$$a=\frac{13}{30}-\frac{1}{3}$$

Least common multiple of 30 and 3 is 30. Convert \frac{13}{30} and \frac{1}{3} to fractions with denominator 30.

$$a=\frac{13}{30}-\frac{10}{30}$$

Since \frac{13}{30} and \frac{10}{30} have the same denominator, subtract them by subtracting their numerators.

$$a=\frac{13-10}{30}$$

Subtract 10 from 13 to get 3.

$$a=\frac{3}{30}$$

Reduce the fraction \frac{3}{30} to lowest terms by extracting and canceling out 3.

$$a=\frac{1}{10}$$