Solve 1/12+1/24+1/24

$$\frac { 1 } { 12 } + \frac { 1 } { 24 } + \frac { 1 } { 24 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Least common multiple of 12 and 24 is 24. Convert \frac{1}{12} and \frac{1}{24} to fractions with denominator 24.

$$\frac{2}{24}+\frac{1}{24}+\frac{1}{24}$$

Since \frac{2}{24} and \frac{1}{24} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{24}+\frac{1}{24}$$

Add 2 and 1 to get 3.

$$\frac{3}{24}+\frac{1}{24}$$

Since \frac{3}{24} and \frac{1}{24} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{24}$$

Add 3 and 1 to get 4.

$$\frac{4}{24}$$

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$