Solve 81/3-41/2

$$8 \frac { 1 } { 3 } - 4 \frac { 1 } { 2 }$$

Evaluate

$$\frac{23}{6}\approx 3.833333333$$

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{24+1}{3}-\frac{4\times 2+1}{2}$$

Add 24 and 1 to get 25.

$$\frac{25}{3}-\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{25}{3}-\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{25}{3}-\frac{9}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{25}{3} and \frac{9}{2} to fractions with denominator 6.

$$\frac{50}{6}-\frac{27}{6}$$

Since \frac{50}{6} and \frac{27}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50-27}{6}$$

Subtract 27 from 50 to get 23.

$$\frac{23}{6}$$

Factor

$$\frac{23}{2 \cdot 3} = 3\frac{5}{6} = 3.8333333333333335$$