Solve 81/2-52/3

$$8 \frac { 1 } { 2 } - 5 \frac { 2 } { 3 }$$

Evaluate

$$\frac{17}{6}\approx 2.833333333$$

Solution Steps

Multiply 8 and 2 to get 16.

$$\frac{16+1}{2}-\frac{5\times 3+2}{3}$$

Add 16 and 1 to get 17.

$$\frac{17}{2}-\frac{5\times 3+2}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{17}{2}-\frac{15+2}{3}$$

Add 15 and 2 to get 17.

$$\frac{17}{2}-\frac{17}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{17}{2} and \frac{17}{3} to fractions with denominator 6.

$$\frac{51}{6}-\frac{34}{6}$$

Since \frac{51}{6} and \frac{34}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-34}{6}$$

Subtract 34 from 51 to get 17.

$$\frac{17}{6}$$

Factor

$$\frac{17}{2 \cdot 3} = 2\frac{5}{6} = 2.8333333333333335$$