Solve 81/6-27/9

$$8 \frac { 1 } { 6 } - 2 \frac { 7 } { 9 }$$

Evaluate

$$\frac{97}{18}\approx 5.388888889$$

Solution Steps

Multiply 8 and 6 to get 48.

$$\frac{48+1}{6}-\frac{2\times 9+7}{9}$$

Add 48 and 1 to get 49.

$$\frac{49}{6}-\frac{2\times 9+7}{9}$$

Multiply 2 and 9 to get 18.

$$\frac{49}{6}-\frac{18+7}{9}$$

Add 18 and 7 to get 25.

$$\frac{49}{6}-\frac{25}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{49}{6} and \frac{25}{9} to fractions with denominator 18.

$$\frac{147}{18}-\frac{50}{18}$$

Since \frac{147}{18} and \frac{50}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{147-50}{18}$$

Subtract 50 from 147 to get 97.

$$\frac{97}{18}$$

Factor

$$\frac{97}{2 \cdot 3 ^ {2}} = 5\frac{7}{18} = 5.388888888888889$$