Question

add. simplify, if possible.

\\(\frac{4}{y} + \frac{9}{y^2}\\)

\\(\frac{4}{y} + \frac{9}{y^2} = \\)

Explanation:

Find the least common denominator

$$ \text{LCD} = y^2 $$

Rewrite the first fraction

$$ \frac{4}{y} = \frac{4 \cdot y}{y \cdot y} = \frac{4y}{y^2} $$

Add the numerators

$$ \frac{4y}{y^2} + \frac{9}{y^2} = \frac{4y + 9}{y^2} $$

Answer:

Add. Simplify, if possible.

$$\frac{4}{y} + \frac{9}{y^2} =$$

<blank>\(\frac{4y+9}{y^2}\)</blank>