Solve 1/8+1/2+1/6+1/6

$$\frac { 1 } { 8 } + \frac { 1 } { 2 } + \frac { 1 } { 6 } + \frac { 1 } { 6 }$$

Evaluate

$$\frac{23}{24}\approx 0.958333333$$

Solution Steps

Least common multiple of 8 and 2 is 8. Convert \frac{1}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{1}{8}+\frac{4}{8}+\frac{1}{6}+\frac{1}{6}$$

Since \frac{1}{8} and \frac{4}{8} have the same denominator, add them by adding their numerators.

$$\frac{1+4}{8}+\frac{1}{6}+\frac{1}{6}$$

Add 1 and 4 to get 5.

$$\frac{5}{8}+\frac{1}{6}+\frac{1}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{5}{8} and \frac{1}{6} to fractions with denominator 24.

$$\frac{15}{24}+\frac{4}{24}+\frac{1}{6}$$

Since \frac{15}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{24}+\frac{1}{6}$$

Add 15 and 4 to get 19.

$$\frac{19}{24}+\frac{1}{6}$$

Least common multiple of 24 and 6 is 24. Convert \frac{19}{24} and \frac{1}{6} to fractions with denominator 24.

$$\frac{19}{24}+\frac{4}{24}$$

Since \frac{19}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{19+4}{24}$$

Add 19 and 4 to get 23.

$$\frac{23}{24}$$

Factor

$$\frac{23}{2 ^ {3} \cdot 3} = 0.9583333333333334$$