Solve 3/4+1/2+1/8

$$\frac { 3 } { 4 } + \frac { 1 } { 2 } + \frac { 1 } { 8 }$$

Evaluate

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

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{3}{4}+\frac{2}{4}+\frac{1}{8}$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{4}+\frac{1}{8}$$

Add 3 and 2 to get 5.

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

Least common multiple of 4 and 8 is 8. Convert \frac{5}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{10}{8}+\frac{1}{8}$$

Since \frac{10}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{10+1}{8}$$

Add 10 and 1 to get 11.

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

Factor

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