Solve 1/8+1/3+7/24+1/12

$$\frac{ 1 }{ 8 } + \frac{ 1 }{ 3 } + \frac{ 7 }{ 24 } + \frac{ 1 }{ 12 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

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

$$\frac{3}{24}+\frac{8}{24}+\frac{7}{24}+\frac{1}{12}$$

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

$$\frac{3+8}{24}+\frac{7}{24}+\frac{1}{12}$$

Add 3 and 8 to get 11.

$$\frac{11}{24}+\frac{7}{24}+\frac{1}{12}$$

Since \frac{11}{24} and \frac{7}{24} have the same denominator, add them by adding their numerators.

$$\frac{11+7}{24}+\frac{1}{12}$$

Add 11 and 7 to get 18.

$$\frac{18}{24}+\frac{1}{12}$$

Reduce the fraction \frac{18}{24} to lowest terms by extracting and canceling out 6.

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

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

$$\frac{9}{12}+\frac{1}{12}$$

Since \frac{9}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+1}{12}$$

Add 9 and 1 to get 10.

$$\frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$