Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( m = -3 \)
Solution
To solve the equation:
\[
\frac{12}{8} = -\frac{m}{2}
\]
follow these steps:
### 1. Simplify the Fraction
First, simplify the fraction \(\frac{12}{8}\):
\[
\frac{12}{8} = \frac{12 \div 4}{8 \div 4} = \frac{3}{2}
\]
So the equation becomes:
\[
\frac{3}{2} = -\frac{m}{2}
\]
### 2. Eliminate the Denominator
Multiply both sides of the equation by 2 to eliminate the denominator:
\[
2 \times \frac{3}{2} = 2 \times \left(-\frac{m}{2}\right)
\]
This simplifies to:
\[
3 = -m
\]
### 3. Solve for \( m \)
To isolate \( m \), multiply both sides by \(-1\):
\[
-3 = m
\]
Or equivalently:
\[
m = -3
\]
### **Solution:**
\[
m = -3
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
Let's dive into the fun world of equations! First, you can simplify the fraction on the left: \( \frac{12}{8} = \frac{3}{2} \). So the equation becomes \( \frac{3}{2} = -\frac{m}{2} \). Multiply both sides by -2 to get rid of the fraction: \( m = -3 \). Voila! You've solved for \( m \) and made a new friend in the process! Now, here’s a common mistake many make with negative signs! When you multiply or divide by a negative number, you must remember that the inequality or sign changes direction. So when you solve \( -\frac{m}{2} = \frac{3}{2} \), it's all too easy to forget that the negative flips the value you're solving for. Stay sharp with those signs!
