Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
add. state the sum in simplest form.
$\frac{1}{2x} + \frac{8}{9y}$
○ $\frac{2x+72y}{18xy}$
○ $\frac{9}{18xy}$
○ $\frac{9y+16x}{18xy}$
○ $\frac{9}{2x+9y}$

Explanation:

Step1: Find common denominator

The least common denominator of $2x$ and $9y$ is $18xy$.

Step2: Rewrite fractions with LCD

$\frac{1}{2x} = \frac{9y}{18xy}$, $\frac{8}{9y} = \frac{16x}{18xy}$

Step3: Add the fractions

$\frac{9y}{18xy} + \frac{16x}{18xy} = \frac{9y + 16x}{18xy}$

Answer:

$\boldsymbol{\frac{9y+16x}{18xy}}$ (corresponding to the second option)