Solve 15+3/5-5/3

$$15 + \frac { 3 } { 5 } - \frac { 5 } { 3 }$$

Evaluate

$$\frac{209}{15}\approx 13.933333333$$

Solution Steps

Convert 15 to fraction \frac{75}{5}.

$$\frac{75}{5}+\frac{3}{5}-\frac{5}{3}$$

Since \frac{75}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{75+3}{5}-\frac{5}{3}$$

Add 75 and 3 to get 78.

$$\frac{78}{5}-\frac{5}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{78}{5} and \frac{5}{3} to fractions with denominator 15.

$$\frac{234}{15}-\frac{25}{15}$$

Since \frac{234}{15} and \frac{25}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{234-25}{15}$$

Subtract 25 from 234 to get 209.

$$\frac{209}{15}$$

Factor

$$\frac{11 \cdot 19}{3 \cdot 5} = 13\frac{14}{15} = 13.933333333333334$$