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

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

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

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

$$\frac{1}{8}+\frac{2}{8}+\frac{1}{4}+\frac{5}{8}$$

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

$$\frac{1+2}{8}+\frac{1}{4}+\frac{5}{8}$$

Add 1 and 2 to get 3.

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

Least common multiple of 8 and 4 is 8. Convert \frac{3}{8} and \frac{1}{4} to fractions with denominator 8.

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

Since \frac{3}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

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

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

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

Add 5 and 5 to get 10.

$$\frac{10}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$