Solve 1/3+1/2=2/6+3/6

$$\frac { 1 } { 3 } + \frac { 1 } { 2 } = \frac { 2 } { 6 } + \frac { 3 } { 6 }$$

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.

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

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

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

Add 2 and 3 to get 5.

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

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

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

Add 2 and 3 to get 5.

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

Compare \frac{5}{6} and \frac{5}{6}.

$$\text{true}$$