Solve 1+5/4+9/8

$$1 + \frac { 5 } { 4 } + \frac { 9 } { 8 }$$

Evaluate

$$\frac{27}{8}=3.375$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

$$\frac{4}{4}+\frac{5}{4}+\frac{9}{8}$$

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

$$\frac{4+5}{4}+\frac{9}{8}$$

Add 4 and 5 to get 9.

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

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

$$\frac{18}{8}+\frac{9}{8}$$

Since \frac{18}{8} and \frac{9}{8} have the same denominator, add them by adding their numerators.

$$\frac{18+9}{8}$$

Add 18 and 9 to get 27.

$$\frac{27}{8}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3}} = 3\frac{3}{8} = 3.375$$