Answer
$2$
Work Step by Step
To add rational expressions with the same denominator,
add numerators and place the sum over the common denominator.
If possible, factor and simplify the result.
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$\displaystyle \frac{4x+1}{6x+5}+\frac{8x+9}{6x+5} = \displaystyle \frac{4x+1+8x+9}{6x+5}$
$= \displaystyle \frac{12x+10}{6x+5}$
$= \displaystyle \frac{2(6x+5)}{(6x+5)}\qquad$... reduce the common factor
$= \displaystyle \frac{2}{1}=2$
