Solve 98/9-43/6

$$9 \frac { 8 } { 9 } - 4 \frac { 3 } { 6 }$$

Evaluate

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

Solution Steps

Multiply 9 and 9 to get 81.

$$\frac{81+8}{9}-\frac{4\times 6+3}{6}$$

Add 81 and 8 to get 89.

$$\frac{89}{9}-\frac{4\times 6+3}{6}$$

Multiply 4 and 6 to get 24.

$$\frac{89}{9}-\frac{24+3}{6}$$

Add 24 and 3 to get 27.

$$\frac{89}{9}-\frac{27}{6}$$

Reduce the fraction \frac{27}{6} to lowest terms by extracting and canceling out 3.

$$\frac{89}{9}-\frac{9}{2}$$

Least common multiple of 9 and 2 is 18. Convert \frac{89}{9} and \frac{9}{2} to fractions with denominator 18.

$$\frac{178}{18}-\frac{81}{18}$$

Since \frac{178}{18} and \frac{81}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{178-81}{18}$$

Subtract 81 from 178 to get 97.

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

Factor

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