Solve 21/2-11/3

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

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

$$\frac{5}{2}-\frac{4}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{15}{6}-\frac{8}{6}$$

Since \frac{15}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{6}$$

Subtract 8 from 15 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$