To solve the equation $r = \frac{q}{p}$ for $q$, follow these steps:

1. Isolate $q$ by multiplying both sides of the equation by $p$ to eliminate the fraction:

   $r \times p = \frac{q}{p} \times p$

2. The $p$ on the right side cancels out:

   $rp = q$

3. Therefore, the solution for $q$ is:

   $q = rp$

Would you like more details or have any questions?

Here are 5 related questions:

1. How would you solve for $p$ in the equation $r = \frac{q}{p}$?
2. What would the equation look like if $q$ had an additional term, like $r = \frac{q + s}{p}$?
3. How would you solve the equation if $r$ were a more complex expression, like $r = \frac{q}{p} + t$?
4. What if $r$ was a function of $q$ and $p$, such as $r(q, p) = \frac{q^2}{p}$?
5. How would you approach solving for $q$ if the equation was $r = \frac{q}{p}$ but $q$ and $p$ were both in terms of another variable?

Tip: When dealing with equations involving fractions, a useful first step is to eliminate the fraction by multiplying both sides of the equation by the denominator.