Solve 5-5/8+3/4

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

Evaluate

$$\frac{41}{8}=5.125$$

Solution Steps

Convert 5 to fraction \frac{40}{8}.

$$\frac{40}{8}-\frac{5}{8}+\frac{3}{4}$$

Since \frac{40}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-5}{8}+\frac{3}{4}$$

Subtract 5 from 40 to get 35.

$$\frac{35}{8}+\frac{3}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{35}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{35}{8}+\frac{6}{8}$$

Since \frac{35}{8} and \frac{6}{8} have the same denominator, add them by adding their numerators.

$$\frac{35+6}{8}$$

Add 35 and 6 to get 41.

$$\frac{41}{8}$$

Factor

$$\frac{41}{2 ^ {3}} = 5\frac{1}{8} = 5.125$$