Solve 11/3-21/2

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

Evaluate

$$-\frac{7}{6}\approx -1.166666667$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

$$\frac{4}{3}-\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{3}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{4}{3}-\frac{5}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{4}{3} and \frac{5}{2} to fractions with denominator 6.

$$\frac{8}{6}-\frac{15}{6}$$

Since \frac{8}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-15}{6}$$

Subtract 15 from 8 to get -7.

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

Factor

$$-\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$