Solve 11/6-12/3

$$1 \frac { 1 } { 6 } - 1 \frac { 2 } { 3 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{6+1}{6}-\frac{1\times 3+2}{3}$$

Add 6 and 1 to get 7.

$$\frac{7}{6}-\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{7}{6}-\frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$\frac{7}{6}-\frac{5}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{7}{6} and \frac{5}{3} to fractions with denominator 6.

$$\frac{7}{6}-\frac{10}{6}$$

Since \frac{7}{6} and \frac{10}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-10}{6}$$

Subtract 10 from 7 to get -3.

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

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

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

Factor

$$-\frac{1}{2} = -0.5$$