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

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

Evaluate

$$1$$

Solution Steps

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

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

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

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

Add 1 and 3 to get 4.

$$\frac{4}{6}+\frac{1}{3}$$

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

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

Since \frac{2}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

$$\frac{3}{3}$$

Divide 3 by 3 to get 1.

$$1$$

Factor

$$1$$