Solve 21/2-21/3=

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

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{5}{2}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{5}{2}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{5}{2}-\frac{7}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{7}{3} to fractions with denominator 6.

$$\frac{15}{6}-\frac{14}{6}$$

Since \frac{15}{6} and \frac{14}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-14}{6}$$

Subtract 14 from 15 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$