Solve 81/2-71/3

$$8 \frac { 1 } { 2 } - 7 \frac { 1 } { 3 }$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Multiply 8 and 2 to get 16.

$$\frac{16+1}{2}-\frac{7\times 3+1}{3}$$

Add 16 and 1 to get 17.

$$\frac{17}{2}-\frac{7\times 3+1}{3}$$

Multiply 7 and 3 to get 21.

$$\frac{17}{2}-\frac{21+1}{3}$$

Add 21 and 1 to get 22.

$$\frac{17}{2}-\frac{22}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{17}{2} and \frac{22}{3} to fractions with denominator 6.

$$\frac{51}{6}-\frac{44}{6}$$

Since \frac{51}{6} and \frac{44}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-44}{6}$$

Subtract 44 from 51 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$