Solve 3/6+8/5-11/2

$$\frac{ 3 }{ 6 } + \frac{ 8 }{ 5 } - \frac{ 11 }{ 2 }$$

Evaluate

$$-\frac{17}{5}=-3.4$$

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}+\frac{8}{5}-\frac{11}{2}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{8}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{16}{10}-\frac{11}{2}$$

Since \frac{5}{10} and \frac{16}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+16}{10}-\frac{11}{2}$$

Add 5 and 16 to get 21.

$$\frac{21}{10}-\frac{11}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{21}{10} and \frac{11}{2} to fractions with denominator 10.

$$\frac{21}{10}-\frac{55}{10}$$

Since \frac{21}{10} and \frac{55}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-55}{10}$$

Subtract 55 from 21 to get -34.

$$\frac{-34}{10}$$

Reduce the fraction \frac{-34}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{17}{5}$$

Factor

$$-\frac{17}{5} = -3\frac{2}{5} = -3.4$$