Solve 79/18-813/9

$$7 \frac{ 9 }{ 18 } -8 \frac { 13 } { 9 }$$

Evaluate

$$-\frac{35}{18}\approx -1.944444444$$

Solution Steps

Multiply 7 and 18 to get 126.

$$\frac{126+9}{18}-\frac{8\times 9+13}{9}$$

Add 126 and 9 to get 135.

$$\frac{135}{18}-\frac{8\times 9+13}{9}$$

Reduce the fraction \frac{135}{18} to lowest terms by extracting and canceling out 9.

$$\frac{15}{2}-\frac{8\times 9+13}{9}$$

Multiply 8 and 9 to get 72.

$$\frac{15}{2}-\frac{72+13}{9}$$

Add 72 and 13 to get 85.

$$\frac{15}{2}-\frac{85}{9}$$

Least common multiple of 2 and 9 is 18. Convert \frac{15}{2} and \frac{85}{9} to fractions with denominator 18.

$$\frac{135}{18}-\frac{170}{18}$$

Since \frac{135}{18} and \frac{170}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{135-170}{18}$$

Subtract 170 from 135 to get -35.

$$-\frac{35}{18}$$

Factor

$$-\frac{35}{18} = -1\frac{17}{18} = -1.9444444444444444$$