Question

to find the value of p, you can divide \\(\frac{2}{9}p\\) by \\(\frac{2}{9}\\). to keep the equation balanced, you need to divide 3 by the same value. divide both sides of the equation by \\(\frac{2}{9}\\).
\\(\frac{2}{9}p = 3\\)
\\(\frac{\frac{2}{9}p}{\frac{2}{9}}\\) \\(\frac{3}{\frac{2}{9}}\\)
\\(\frac{2}{9}p=3div\frac{2}{9}\\) \\(p = 3div\frac{2}{9}\\) \\(p=\frac{2}{9}div3\\)

Explanation:

Step1: Simplify left side

When dividing $\frac{2}{9}p$ by $\frac{2}{9}$, the $\frac{2}{9}$ terms cancel out, leaving $p$.
$\frac{\frac{2}{9}p}{\frac{2}{9}} = p$

Step2: Simplify right side

The right side becomes $3$ divided by $\frac{2}{9}$.
$\frac{3}{\frac{2}{9}} = 3 \div \frac{2}{9}$

Step3: Match to correct option

Combine the simplified left and right sides to get the equation for $p$.

Answer:

$p = 3 \div \frac{2}{9}$