Solve 1/3+1/2=2/5

$$\frac { 1 } { 3 } + \frac { 1 } { 2 } = \frac { 2 } { 5 }$$

Verify

Solution Steps

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

$$\frac{2}{6}+\frac{3}{6}=\frac{2}{5}$$

Since \frac{2}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{6}=\frac{2}{5}$$

Add 2 and 3 to get 5.

$$\frac{5}{6}=\frac{2}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{5}{6} and \frac{2}{5} to fractions with denominator 30.

$$\frac{25}{30}=\frac{12}{30}$$

Compare \frac{25}{30} and \frac{12}{30}.

$$\text{false}$$