Solve 31/2-11/3

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

Evaluate

$$\frac{13}{6}\approx 2.166666667$$

Solution Steps

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

$$\frac{7}{2}-\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{7}{2}-\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{7}{2}-\frac{4}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{21}{6}-\frac{8}{6}$$

Since \frac{21}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-8}{6}$$

Subtract 8 from 21 to get 13.

$$\frac{13}{6}$$

Factor

$$\frac{13}{2 \cdot 3} = 2\frac{1}{6} = 2.1666666666666665$$