Solve 21/6-11/2

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

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+1}{6}-\frac{1\times 2+1}{2}$$

Add 12 and 1 to get 13.

$$\frac{13}{6}-\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{13}{6}-\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{13}{6}-\frac{3}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{13}{6} and \frac{3}{2} to fractions with denominator 6.

$$\frac{13}{6}-\frac{9}{6}$$

Since \frac{13}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-9}{6}$$

Subtract 9 from 13 to get 4.

$$\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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

Factor

$$\frac{2}{3} = 0.6666666666666666$$