To solve the equation \( \frac{2}{3}q = 12 \), follow these steps:

1. **Isolate \( q \):**
   \[
   q = \frac{12 \times 3}{2}
   \]

2. **Simplify:**
   \[
   q = \frac{36}{2} = 18
   \]

So, the solution is \( q = 18 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you solve \( \frac{3}{4}q = 9 \)?
2. What is the value of \( q \) if \( \frac{5}{6}q = 15 \)?
3. How do you solve an equation like \( 2q + 3 = 12 \)?
4. What happens if the fraction is negative, such as \( -\frac{2}{3}q = 12 \)?
5. How do you check if your solution to \( \frac{2}{3}q = 12 \) is correct?

**Tip:** When solving equations involving fractions, multiplying both sides by the reciprocal of the fraction can simplify the process.

Learn how to solve the equation 2/3q = 12 step-by-step with detailed explanations. This problem involves solving equations with fractions and is suitable for students in Grades 6-8.

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