Solve 1/8+1/3+1/3

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

Evaluate

$$\frac{19}{24}\approx 0.791666667$$

Solution Steps

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

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

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

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

Add 3 and 8 to get 11.

$$\frac{11}{24}+\frac{1}{3}$$

Least common multiple of 24 and 3 is 24. Convert \frac{11}{24} and \frac{1}{3} to fractions with denominator 24.

$$\frac{11}{24}+\frac{8}{24}$$

Since \frac{11}{24} and \frac{8}{24} have the same denominator, add them by adding their numerators.

$$\frac{11+8}{24}$$

Add 11 and 8 to get 19.

$$\frac{19}{24}$$

Factor

$$\frac{19}{2 ^ {3} \cdot 3} = 0.7916666666666666$$