Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( m = -3 \)
Solution
To solve the equation:
\[
\frac{12}{8} = -\frac{m}{2}
\]
**Step 1: Simplify the Fraction**
First, simplify \(\frac{12}{8}\):
\[
\frac{12}{8} = \frac{3}{2}
\]
So the equation becomes:
\[
\frac{3}{2} = -\frac{m}{2}
\]
**Step 2: Eliminate the Denominator**
Multiply both sides of the equation by 2 to eliminate the denominator:
\[
2 \times \frac{3}{2} = 2 \times \left(-\frac{m}{2}\right)
\]
Simplifying both sides:
\[
3 = -m
\]
**Step 3: Solve for \(m\)**
To isolate \(m\), multiply both sides by \(-1\):
\[
m = -3
\]
**Final Answer:**
\[
m = -3
\]
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Simplify this solution Bonus Knowledge
To solve the equation \( \frac{12}{8} = -\frac{m}{2} \), first simplify the left side. \( \frac{12}{8} \) simplifies to \( \frac{3}{2} \). This gives you the new equation: \( \frac{3}{2} = -\frac{m}{2} \). Now multiply both sides by -2 to isolate \( m \): \( -2 \cdot \frac{3}{2} = m \), which simplifies to \( m = -3 \). Great job! You've found that \( m = -3 \)! Keep practicing, and these will get even easier!
