Solve 5/8+3/6+1/4

$$\frac{ 5 }{ 8 } + \frac{ 3 }{ 6 } + \frac{ 1 }{ 4 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

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

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

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

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

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

Add 5 and 4 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

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