Solve 81/2-31/9=

$$8 \frac { 1 } { 2 } - 3 \frac { 1 } { 9 } =$$

Evaluate

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

Solution Steps

Multiply 8 and 2 to get 16.

$$\frac{16+1}{2}-\frac{3\times 9+1}{9}$$

Add 16 and 1 to get 17.

$$\frac{17}{2}-\frac{3\times 9+1}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{17}{2}-\frac{27+1}{9}$$

Add 27 and 1 to get 28.

$$\frac{17}{2}-\frac{28}{9}$$

Least common multiple of 2 and 9 is 18. Convert \frac{17}{2} and \frac{28}{9} to fractions with denominator 18.

$$\frac{153}{18}-\frac{56}{18}$$

Since \frac{153}{18} and \frac{56}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{153-56}{18}$$

Subtract 56 from 153 to get 97.

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

Factor

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