Solve 111/2-51/3=

$$11 \frac { 1 } { 2 } - 5 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{37}{6}\approx 6.166666667$$

Solution Steps

Multiply 11 and 2 to get 22.

$$\frac{22+1}{2}-\frac{5\times 3+1}{3}$$

Add 22 and 1 to get 23.

$$\frac{23}{2}-\frac{5\times 3+1}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{23}{2}-\frac{15+1}{3}$$

Add 15 and 1 to get 16.

$$\frac{23}{2}-\frac{16}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{23}{2} and \frac{16}{3} to fractions with denominator 6.

$$\frac{69}{6}-\frac{32}{6}$$

Since \frac{69}{6} and \frac{32}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{69-32}{6}$$

Subtract 32 from 69 to get 37.

$$\frac{37}{6}$$

Factor

$$\frac{37}{2 \cdot 3} = 6\frac{1}{6} = 6.166666666666667$$