Solve 5/11-8/3

$$\frac { 5 } { 11 } - \frac { 8 } { 3 }$$

Evaluate

$$-\frac{73}{33}\approx -2.212121212$$

Solution Steps

Least common multiple of 11 and 3 is 33. Convert \frac{5}{11} and \frac{8}{3} to fractions with denominator 33.

$$\frac{15}{33}-\frac{88}{33}$$

Since \frac{15}{33} and \frac{88}{33} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-88}{33}$$

Subtract 88 from 15 to get -73.

$$-\frac{73}{33}$$

Factor

$$-\frac{73}{33} = -2\frac{7}{33} = -2.212121212121212$$