Solve 3/11+5/9

$$\frac { 3 } { 11 } + \frac { 5 } { 9 }$$

Evaluate

$$\frac{82}{99}\approx 0.828282828$$

Solution Steps

Least common multiple of 11 and 9 is 99. Convert \frac{3}{11} and \frac{5}{9} to fractions with denominator 99.

$$\frac{27}{99}+\frac{55}{99}$$

Since \frac{27}{99} and \frac{55}{99} have the same denominator, add them by adding their numerators.

$$\frac{27+55}{99}$$

Add 27 and 55 to get 82.

$$\frac{82}{99}$$

Factor

$$\frac{2 \cdot 41}{3 ^ {2} \cdot 11} = 0.8282828282828283$$