Solve 15/4-5/8+10/2=

$$\frac { 15 } { 4 } - \frac { 5 } { 8 } + \frac { 10 } { 2 } =$$

Evaluate

$$\frac{65}{8}=8.125$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{15}{4} and \frac{5}{8} to fractions with denominator 8.

$$\frac{30}{8}-\frac{5}{8}+\frac{10}{2}$$

Since \frac{30}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-5}{8}+\frac{10}{2}$$

Subtract 5 from 30 to get 25.

$$\frac{25}{8}+\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$\frac{25}{8}+5$$

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

$$\frac{25}{8}+\frac{40}{8}$$

Since \frac{25}{8} and \frac{40}{8} have the same denominator, add them by adding their numerators.

$$\frac{25+40}{8}$$

Add 25 and 40 to get 65.

$$\frac{65}{8}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {3}} = 8\frac{1}{8} = 8.125$$