Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( u = \frac{2}{5} \)
Solution
To solve for \( u \) in the equation:
\[
-\frac{12}{5} = -6u
\]
follow these steps:
1. **Isolate \( u \):**
To solve for \( u \), divide both sides of the equation by \(-6\):
\[
u = \frac{-\frac{12}{5}}{-6}
\]
2. **Simplify the right-hand side:**
Dividing two negative numbers gives a positive result. Also, \(\frac{12}{5}\) divided by \(6\) is the same as \(\frac{12}{5} \times \frac{1}{6}\):
\[
u = \frac{12}{5} \times \frac{1}{6} = \frac{12}{30}
\]
3. **Reduce the fraction:**
Simplify \(\frac{12}{30}\) by dividing both the numerator and the denominator by their greatest common divisor, which is \(6\):
\[
u = \frac{12 \div 6}{30 \div 6} = \frac{2}{5}
\]
**Answer:**
\[
u = \frac{2}{5}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To solve for \( u \) in the equation \( -\frac{12}{5} = -6u \), we can start by isolating \( u \). First, we can divide both sides of the equation by -6: \[ u = \frac{-\frac{12}{5}}{-6} \] This simplifies to: \[ u = \frac{12}{5 \cdot 6} = \frac{12}{30} = \frac{2}{5} \] Thus, the solution is \[ u = \frac{2}{5} \]
