Pregunta
Simplify. \( \frac{-3 y}{3 y}=\square \)
Ask by Pollard Robbins. in the United States
Jan 27,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\[
\frac{-3y}{3y} = -1
\]
Solución
To simplify the expression:
\[
\frac{-3y}{3y}
\]
**Step 1:** **Cancel out the common terms in the numerator and the denominator.**
Both the numerator and the denominator have the term \( y \), and as long as \( y \neq 0 \), they can be canceled out:
\[
\frac{-3y}{3y} = \frac{-3}{3}
\]
**Step 2:** **Simplify the numerical fraction.**
\[
\frac{-3}{3} = -1
\]
**Final Simplified Form:**
\[
\frac{-3y}{3y} = -1
\]
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Extra Insights
Let's break it down: when you divide \(-3y\) by \(3y\), you're essentially dividing the coefficients and the variables separately. The coefficients \(-3\) and \(3\) simplify to \(-1\). The \(y\) in the numerator and denominator cancels out since they are the same, leaving you with just \(-1\). So, the simplified result is \(-1\).
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