Solve 1/616-6/11

$$\frac { 1 } { 6 } 16 - \frac { 6 } { 11 }$$

Evaluate

$$\frac{70}{33}\approx 2.121212121$$

Solution Steps

Multiply \frac{1}{6} and 16 to get \frac{16}{6}.

$$\frac{16}{6}-\frac{6}{11}$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$\frac{8}{3}-\frac{6}{11}$$

Least common multiple of 3 and 11 is 33. Convert \frac{8}{3} and \frac{6}{11} to fractions with denominator 33.

$$\frac{88}{33}-\frac{18}{33}$$

Since \frac{88}{33} and \frac{18}{33} have the same denominator, subtract them by subtracting their numerators.

$$\frac{88-18}{33}$$

Subtract 18 from 88 to get 70.

$$\frac{70}{33}$$

Factor

$$\frac{2 \cdot 5 \cdot 7}{3 \cdot 11} = 2\frac{4}{33} = 2.121212121212121$$