Solve 1/11-12/10

$$\frac { 1 } { 11 } - 1 \frac { 2 } { 10 }$$

Evaluate

$$-\frac{61}{55}\approx -1.109090909$$

Solution Steps

Multiply 1 and 10 to get 10.

$$\frac{1}{11}-\frac{10+2}{10}$$

Add 10 and 2 to get 12.

$$\frac{1}{11}-\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{11}-\frac{6}{5}$$

Least common multiple of 11 and 5 is 55. Convert \frac{1}{11} and \frac{6}{5} to fractions with denominator 55.

$$\frac{5}{55}-\frac{66}{55}$$

Since \frac{5}{55} and \frac{66}{55} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-66}{55}$$

Subtract 66 from 5 to get -61.

$$-\frac{61}{55}$$

Factor

$$-\frac{61}{55} = -1\frac{6}{55} = -1.1090909090909091$$