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

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

Evaluate

$$1$$

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.

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

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

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

Add 1 and 1 to get 2.

$$\frac{2}{2}$$

Divide 2 by 2 to get 1.

$$1$$

Factor

$$1$$