To solve the equation \( \frac{2}{3} = \frac{c}{4} \) for \( c \), follow these steps:

1. **Cross-multiply** to eliminate the fractions:
   \[
   2 \times 4 = 3 \times c
   \]
   This simplifies to:
   \[
   8 = 3c
   \]

2. **Solve for \( c \)** by dividing both sides by 3:
   \[
   c = \frac{8}{3}
   \]

So, \( c = \frac{8}{3} \).

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How do you solve similar equations with different denominators?
2. What are the steps for solving equations involving multiple fractions?
3. How can you check if your solution to a fraction equation is correct?
4. What happens if both sides of the equation have multiple fractions?
5. How do you handle equations where variables are in both the numerator and denominator?

**Tip:** Always cross-multiply when dealing with equations involving fractions. This simplifies the equation by eliminating the fractions.

Learn how to solve the equation 2/3 = c/4 to find the value of variable c using cross-multiplication. This problem involves fractions and equations, suitable for students in Grades 7-9.

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