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

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

Verify

Solution Steps

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

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

Since \frac{1}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

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

Add 1 and 3 to get 4.

$$\frac{4}{6}=\frac{2}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

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

Compare \frac{2}{3} and \frac{1}{3}.

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