Solve 1/2+5/8+1/4=?

$$1 / 2 + 5 / 8 + 1 / 4 = ?$$

Evaluate

$$\frac{11}{8}=1.375$$

Solution Steps

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{5}{8} to fractions with denominator 8.

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

Since \frac{4}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

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

Add 4 and 5 to get 9.

$$\frac{9}{8}+\frac{1}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{9}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{9}{8}+\frac{2}{8}$$

Since \frac{9}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{9+2}{8}$$

Add 9 and 2 to get 11.

$$\frac{11}{8}$$

Factor

$$\frac{11}{2 ^ {3}} = 1\frac{3}{8} = 1.375$$