Solve 1/8+1/6+1/8

$$\frac { 1 } { 8 } + \frac { 1 } { 6 } + \frac { 1 } { 8 }$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Least common multiple of 8 and 6 is 24. Convert \frac{1}{8} and \frac{1}{6} to fractions with denominator 24.

$$\frac{3}{24}+\frac{4}{24}+\frac{1}{8}$$

Since \frac{3}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{24}+\frac{1}{8}$$

Add 3 and 4 to get 7.

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

Least common multiple of 24 and 8 is 24. Convert \frac{7}{24} and \frac{1}{8} to fractions with denominator 24.

$$\frac{7}{24}+\frac{3}{24}$$

Since \frac{7}{24} and \frac{3}{24} have the same denominator, add them by adding their numerators.

$$\frac{7+3}{24}$$

Add 7 and 3 to get 10.

$$\frac{10}{24}$$

Reduce the fraction \frac{10}{24} to lowest terms by extracting and canceling out 2.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$