Solve 7/5+9/11

$$\frac{ 7 }{ 5 } + \frac{ 9 }{ 11 }$$

Evaluate

$$\frac{122}{55}\approx 2.218181818$$

Solution Steps

Least common multiple of 5 and 11 is 55. Convert \frac{7}{5} and \frac{9}{11} to fractions with denominator 55.

$$\frac{77}{55}+\frac{45}{55}$$

Since \frac{77}{55} and \frac{45}{55} have the same denominator, add them by adding their numerators.

$$\frac{77+45}{55}$$

Add 77 and 45 to get 122.

$$\frac{122}{55}$$

Factor

$$\frac{2 \cdot 61}{5 \cdot 11} = 2\frac{12}{55} = 2.2181818181818183$$