Solve 81/3-51/2

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

Evaluate

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

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{24+1}{3}-\frac{5\times 2+1}{2}$$

Add 24 and 1 to get 25.

$$\frac{25}{3}-\frac{5\times 2+1}{2}$$

Multiply 5 and 2 to get 10.

$$\frac{25}{3}-\frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$\frac{25}{3}-\frac{11}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{25}{3} and \frac{11}{2} to fractions with denominator 6.

$$\frac{50}{6}-\frac{33}{6}$$

Since \frac{50}{6} and \frac{33}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50-33}{6}$$

Subtract 33 from 50 to get 17.

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

Factor

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