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

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

Verify

Solution Steps

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

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

Since \frac{1}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

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

Add 1 and 2 to get 3.

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

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

$$\frac{1}{2}=\frac{1}{2}$$

Compare \frac{1}{2} and \frac{1}{2}.

$$\text{true}$$