Solve 1/3-6/11

$$\frac { 1 } { 3 } - \frac { 6 } { 11 }$$

Evaluate

$$-\frac{7}{33}\approx -0.212121212$$

Solution Steps

Least common multiple of 3 and 11 is 33. Convert \frac{1}{3} and \frac{6}{11} to fractions with denominator 33.

$$\frac{11}{33}-\frac{18}{33}$$

Since \frac{11}{33} and \frac{18}{33} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-18}{33}$$

Subtract 18 from 11 to get -7.

$$-\frac{7}{33}$$

Factor

$$-\frac{7}{33} = -0.21212121212121213$$