https://file.aiquickdraw.com/mathbot/file/1727056392070zeql12k0.jpg

I can see the equation you're working with is:

\[
\frac{3u}{4} = 12
\]

Let's solve for \( u \):

1. Multiply both sides of the equation by 4 to eliminate the denominator:
   \[
   3u = 12 \times 4 = 48
   \]

2. Now, divide both sides by 3 to isolate \( u \):
   \[
   u = \frac{48}{3} = 16
   \]

Thus, \( u = 16 \).

Would you like more details or have any questions? Here are some related questions for further exploration:

1. What if the denominator was a different number (e.g., 5 instead of 4)?
2. How would you solve if the equation was \(\frac{3u}{4} = x\), where \(x\) is a variable?
3. How can you check if your solution is correct?
4. What happens if you multiply both sides by 3 instead of dividing?
5. How do you interpret this equation graphically?

**Tip**: Always aim to eliminate fractions early in the solving process by multiplying both sides by the denominator.

Learn how to solve the linear equation \( \frac{3u}{4} = 12 \) by multiplying both sides by the denominator and isolating the variable u. This problem covers key algebraic concepts, suitable for students in Grades 6-8.

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