Solve 79/18+813/9

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

Evaluate

$$\frac{305}{18}\approx 16.944444444$$

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, add them by adding their numerators.

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

Add 135 and 170 to get 305.

$$\frac{305}{18}$$

Factor

$$\frac{5 \cdot 61}{2 \cdot 3 ^ {2}} = 16\frac{17}{18} = 16.944444444444443$$