Solve 1/3+1/4+1/6

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

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{4}{12}+\frac{3}{12}+\frac{1}{6}$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{12}+\frac{1}{6}$$

Add 4 and 3 to get 7.

$$\frac{7}{12}+\frac{1}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{7}{12} and \frac{1}{6} to fractions with denominator 12.

$$\frac{7}{12}+\frac{2}{12}$$

Since \frac{7}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{7+2}{12}$$

Add 7 and 2 to get 9.

$$\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$