Solve 1/13+x=2/5

$$\frac{ 1 }{ 13 } +x= \frac{ 2 }{ 5 }$$

Solve for x

$$x=\frac{21}{65}\approx 0.323076923$$

Steps for Solving Linear Equation

Subtract \frac{1}{13} from both sides.

$$x=\frac{2}{5}-\frac{1}{13}$$

Least common multiple of 5 and 13 is 65. Convert \frac{2}{5} and \frac{1}{13} to fractions with denominator 65.

$$x=\frac{26}{65}-\frac{5}{65}$$

Since \frac{26}{65} and \frac{5}{65} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{26-5}{65}$$

Subtract 5 from 26 to get 21.

$$x=\frac{21}{65}$$