Add.
\[
\frac{3}{4 y}+\frac{2}{9 y}
\]
Simplify. your answer as much as possible.
Final Answer: \(\boxed{\frac{35}{36y}}\)
Step 1 :The problem is asking to add two fractions: \(\frac{3}{4y}\) and \(\frac{2}{9y}\).
Step 2 :Since the fractions have the same denominator, we can add the numerators and keep the denominator the same.
Step 3 :Adding the numerators gives us \(\frac{3+2}{4y}\) which simplifies to \(\frac{5}{4y}\).
Step 4 :However, the fractions were not simplified correctly. The correct addition of the fractions is \(\frac{3}{4y} + \(\frac{2}{9y} = \frac{35}{36y}\).
Step 5 :Final Answer: \(\boxed{\frac{35}{36y}}\)