Solve 4/5+9/11

$$\frac { 4 } { 5 } + \frac { 9 } { 11 }$$

Evaluate

$$\frac{89}{55}\approx 1.618181818$$

Solution Steps

Least common multiple of 5 and 11 is 55. Convert \frac{4}{5} and \frac{9}{11} to fractions with denominator 55.

$$\frac{44}{55}+\frac{45}{55}$$

Since \frac{44}{55} and \frac{45}{55} have the same denominator, add them by adding their numerators.

$$\frac{44+45}{55}$$

Add 44 and 45 to get 89.

$$\frac{89}{55}$$

Factor

$$\frac{89}{5 \cdot 11} = 1\frac{34}{55} = 1.6181818181818182$$