Solve 2/6+4/10-17/5

$$\frac{ 2 }{ 6 } + \frac{ 4 }{ 10 } - \frac{ 17 }{ 5 }$$

Evaluate

$$-\frac{8}{3}\approx -2.666666667$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}+\frac{4}{10}-\frac{17}{5}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}+\frac{2}{5}-\frac{17}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{2}{5} to fractions with denominator 15.

$$\frac{5}{15}+\frac{6}{15}-\frac{17}{5}$$

Since \frac{5}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{15}-\frac{17}{5}$$

Add 5 and 6 to get 11.

$$\frac{11}{15}-\frac{17}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{11}{15} and \frac{17}{5} to fractions with denominator 15.

$$\frac{11}{15}-\frac{51}{15}$$

Since \frac{11}{15} and \frac{51}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-51}{15}$$

Subtract 51 from 11 to get -40.

$$\frac{-40}{15}$$

Reduce the fraction \frac{-40}{15} to lowest terms by extracting and canceling out 5.

$$-\frac{8}{3}$$

Factor

$$-\frac{8}{3} = -2\frac{2}{3} = -2.6666666666666665$$