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.

Learn how to solve the equation r = q/p for q with a detailed step-by-step solution. This problem covers key algebraic concepts, including equations and fractions. Suitable for students in Grades 7-9.

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