Solve 1/4+1/8+5/3

$$\frac { 1 } { 4 } + \frac { 1 } { 8 } + \frac { 5 } { 3 }$$

Evaluate

$$\frac{49}{24}\approx 2.041666667$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{2}{8}+\frac{1}{8}+\frac{5}{3}$$

Since \frac{2}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{8}+\frac{5}{3}$$

Add 2 and 1 to get 3.

$$\frac{3}{8}+\frac{5}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{3}{8} and \frac{5}{3} to fractions with denominator 24.

$$\frac{9}{24}+\frac{40}{24}$$

Since \frac{9}{24} and \frac{40}{24} have the same denominator, add them by adding their numerators.

$$\frac{9+40}{24}$$

Add 9 and 40 to get 49.

$$\frac{49}{24}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {3} \cdot 3} = 2\frac{1}{24} = 2.0416666666666665$$