Solve 11/2-2/3=

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

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

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

$$\frac{9}{6}-\frac{4}{6}$$

Since \frac{9}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{6}$$

Subtract 4 from 9 to get 5.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$