Solve 81/3-61/2=

$$8 \frac { 1 } { 3 } - 6 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{24+1}{3}-\frac{6\times 2+1}{2}$$

Add 24 and 1 to get 25.

$$\frac{25}{3}-\frac{6\times 2+1}{2}$$

Multiply 6 and 2 to get 12.

$$\frac{25}{3}-\frac{12+1}{2}$$

Add 12 and 1 to get 13.

$$\frac{25}{3}-\frac{13}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{25}{3} and \frac{13}{2} to fractions with denominator 6.

$$\frac{50}{6}-\frac{39}{6}$$

Since \frac{50}{6} and \frac{39}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50-39}{6}$$

Subtract 39 from 50 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$