Solve 1/1+27/4-55/8

$$\frac { 1 } { 1 } + \frac { 27 } { 4 } - \frac { 55 } { 8 }$$

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Divide 1 by 1 to get 1.

$$1+\frac{27}{4}-\frac{55}{8}$$

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

$$\frac{4}{4}+\frac{27}{4}-\frac{55}{8}$$

Since \frac{4}{4} and \frac{27}{4} have the same denominator, add them by adding their numerators.

$$\frac{4+27}{4}-\frac{55}{8}$$

Add 4 and 27 to get 31.

$$\frac{31}{4}-\frac{55}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{31}{4} and \frac{55}{8} to fractions with denominator 8.

$$\frac{62}{8}-\frac{55}{8}$$

Since \frac{62}{8} and \frac{55}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{62-55}{8}$$

Subtract 55 from 62 to get 7.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$