Solve 513/18+911/12

$$5 \frac{ 13 }{ 18 } +9 \frac{ 11 }{ 12 }$$

Evaluate

$$\frac{563}{36}\approx 15.638888889$$

Solution Steps

Multiply 5 and 18 to get 90.

$$\frac{90+13}{18}+\frac{9\times 12+11}{12}$$

Add 90 and 13 to get 103.

$$\frac{103}{18}+\frac{9\times 12+11}{12}$$

Multiply 9 and 12 to get 108.

$$\frac{103}{18}+\frac{108+11}{12}$$

Add 108 and 11 to get 119.

$$\frac{103}{18}+\frac{119}{12}$$

Least common multiple of 18 and 12 is 36. Convert \frac{103}{18} and \frac{119}{12} to fractions with denominator 36.

$$\frac{206}{36}+\frac{357}{36}$$

Since \frac{206}{36} and \frac{357}{36} have the same denominator, add them by adding their numerators.

$$\frac{206+357}{36}$$

Add 206 and 357 to get 563.

$$\frac{563}{36}$$

Factor

$$\frac{563}{2 ^ {2} \cdot 3 ^ {2}} = 15\frac{23}{36} = 15.63888888888889$$