Solve 1+3/4+55/8

$$1 + \frac { 3 } { 4 } + \frac { 55 } { 8 }$$

Evaluate

$$\frac{69}{8}=8.625$$

Solution Steps

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

$$\frac{4}{4}+\frac{3}{4}+\frac{55}{8}$$

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

$$\frac{4+3}{4}+\frac{55}{8}$$

Add 4 and 3 to get 7.

$$\frac{7}{4}+\frac{55}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{7}{4} and \frac{55}{8} to fractions with denominator 8.

$$\frac{14}{8}+\frac{55}{8}$$

Since \frac{14}{8} and \frac{55}{8} have the same denominator, add them by adding their numerators.

$$\frac{14+55}{8}$$

Add 14 and 55 to get 69.

$$\frac{69}{8}$$

Factor

$$\frac{3 \cdot 23}{2 ^ {3}} = 8\frac{5}{8} = 8.625$$