Question
Simplify the Algebric fraction \( \frac{\text { Mnv }}{n u v} \)
Ask by Medina Schofield. in Nigeria
Jan 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form of the algebraic fraction is \( \frac{M}{u} \).
Solution
To simplify the algebraic fraction:
\[
\frac{\text{Mnv}}{nuv}
\]
Let's break it down step by step.
1. **Write out the numerator and the denominator:**
\[
\frac{M \cdot n \cdot v}{n \cdot u \cdot v}
\]
2. **Cancel out the common factors in the numerator and the denominator:**
- **\(n\):** Appears in both the numerator and denominator.
- **\(v\):** Also appears in both the numerator and denominator.
After canceling these, the expression becomes:
\[
\frac{M}{u}
\]
**Final Simplified Form:**
\[
\frac{M}{u}
\]
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Simplify this solution Extra Insights
To simplify the algebraic fraction \( \frac{\text{Mnv}}{nuv} \), notice that both the numerator and the denominator have the common factors \(n\) and \(v\). By cancelling these common factors, we end up with \( \frac{\text{M}}{u} \). So, the simplified expression is \( \frac{\text{M}}{u} \). Remember, this simplification only holds true if \( n \neq 0 \) and \( v \neq 0 \) to avoid division by zero!
