Solve 9/11+1/5

$$\frac{ 9 }{ 11 } + \frac{ 1 }{ 5 }$$

Evaluate

$$\frac{56}{55}\approx 1.018181818$$

Solution Steps

Least common multiple of 11 and 5 is 55. Convert \frac{9}{11} and \frac{1}{5} to fractions with denominator 55.

$$\frac{45}{55}+\frac{11}{55}$$

Since \frac{45}{55} and \frac{11}{55} have the same denominator, add them by adding their numerators.

$$\frac{45+11}{55}$$

Add 45 and 11 to get 56.

$$\frac{56}{55}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{5 \cdot 11} = 1\frac{1}{55} = 1.018181818181818$$