Solve 21/2-2/3

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

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

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

$$\frac{15}{6}-\frac{4}{6}$$

Since \frac{15}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-4}{6}$$

Subtract 4 from 15 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$