Solve for uu and simplify your answer.
minus, 12, equals, start fraction, 5, divided by, 3, end fraction, u
−12=
3
5
​
u

To solve for \( u \) in the equation:

\[
-12 = \frac{5}{3} u
\]

### Step 1: Isolate \( u \)
To isolate \( u \), multiply both sides of the equation by the reciprocal of \(\frac{5}{3}\), which is \(\frac{3}{5}\):

\[
u = -12 \times \frac{3}{5}
\]

### Step 2: Perform the multiplication
Multiply \(-12\) by \(\frac{3}{5}\):

\[
u = \frac{-12 \times 3}{5} = \frac{-36}{5}
\]

### Step 3: Simplify (if possible)
The fraction \(\frac{-36}{5}\) is already in its simplest form, so:

\[
u = \frac{-36}{5}
\]

Therefore, the solution for \( u \) is:

\[
u = \frac{-36}{5}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the decimal equivalent of \(\frac{-36}{5}\)?
2. How do you solve similar equations with different fractions?
3. How can you check the solution to this equation?
4. What is the process to convert improper fractions to mixed numbers?
5. How does multiplying by the reciprocal help in solving equations?

**Tip:** When solving for a variable, isolating the variable on one side of the equation is crucial for simplifying the equation effectively.

Learn how to solve the equation -12 equals 5 divided by 3 times u. Follow a detailed step-by-step solution to isolate u and simplify the answer effectively. Suitable for grades 6-8 students.

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