Solve 1/12+1/4+3/24

$$\frac{ 1 }{ 12 } + \frac{ 1 }{ 4 } + \frac{ 3 }{ 24 }$$

Evaluate

$$\frac{11}{24}\approx 0.458333333$$

Solution Steps

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

$$\frac{1}{12}+\frac{3}{12}+\frac{3}{24}$$

Since \frac{1}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{1+3}{12}+\frac{3}{24}$$

Add 1 and 3 to get 4.

$$\frac{4}{12}+\frac{3}{24}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

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

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}+\frac{1}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{1}{3} and \frac{1}{8} to fractions with denominator 24.

$$\frac{8}{24}+\frac{3}{24}$$

Since \frac{8}{24} and \frac{3}{24} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{24}$$

Add 8 and 3 to get 11.

$$\frac{11}{24}$$

Factor

$$\frac{11}{2 ^ {3} \cdot 3} = 0.4583333333333333$$