Solve 9/13+9/5

$$\frac{ 9 }{ 13 } + \frac{ 9 }{ 5 }$$

Evaluate

$$\frac{162}{65}\approx 2.492307692$$

Solution Steps

Least common multiple of 13 and 5 is 65. Convert \frac{9}{13} and \frac{9}{5} to fractions with denominator 65.

$$\frac{45}{65}+\frac{117}{65}$$

Since \frac{45}{65} and \frac{117}{65} have the same denominator, add them by adding their numerators.

$$\frac{45+117}{65}$$

Add 45 and 117 to get 162.

$$\frac{162}{65}$$

Factor

$$\frac{2 \cdot 3 ^ {4}}{5 \cdot 13} = 2\frac{32}{65} = 2.4923076923076923$$