Solve 5/3+3/5-1/2=

$$\frac { 5 } { 3 } + \frac { 3 } { 5 } - \frac { 1 } { 2 } =$$

Evaluate

$$\frac{53}{30}\approx 1.766666667$$

Solution Steps

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

$$\frac{25}{15}+\frac{9}{15}-\frac{1}{2}$$

Since \frac{25}{15} and \frac{9}{15} have the same denominator, add them by adding their numerators.

$$\frac{25+9}{15}-\frac{1}{2}$$

Add 25 and 9 to get 34.

$$\frac{34}{15}-\frac{1}{2}$$

Least common multiple of 15 and 2 is 30. Convert \frac{34}{15} and \frac{1}{2} to fractions with denominator 30.

$$\frac{68}{30}-\frac{15}{30}$$

Since \frac{68}{30} and \frac{15}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{68-15}{30}$$

Subtract 15 from 68 to get 53.

$$\frac{53}{30}$$

Factor

$$\frac{53}{2 \cdot 3 \cdot 5} = 1\frac{23}{30} = 1.7666666666666666$$