Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**Perform the division. See Examples 3-5:**
\[
\frac{30x + 36y}{6}
\]
---
In the example, you are asked to perform the division of the given algebraic expression. The numerator of the fraction is \(30x + 36y\) and the denominator is \(6\).
**Solution:**
1. **Separate the terms in the numerator:**
\[
\frac{30x}{6} + \frac{36y}{6}
\]
2. **Simplify each fraction:**
\[
\frac{30x}{6} = 5x
\]
\[
\frac{36y}{6} = 6y
\]
3. **Combine the simplified terms:**
\[
5x + 6y
\]
---
The final result of the division is \(5x + 6y\).
In the image, there is a rectangular box beneath the fraction, likely intended for students to write their simplified answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfa510ce-a779-4198-b3d3-c9e941c192c9%2F22e8353b-983f-4a53-a917-de3990a94d3c%2Fw6u51j_processed.png&w=3840&q=75)
Transcribed Image Text:**Perform the division. See Examples 3-5:**
\[
\frac{30x + 36y}{6}
\]
---
In the example, you are asked to perform the division of the given algebraic expression. The numerator of the fraction is \(30x + 36y\) and the denominator is \(6\).
**Solution:**
1. **Separate the terms in the numerator:**
\[
\frac{30x}{6} + \frac{36y}{6}
\]
2. **Simplify each fraction:**
\[
\frac{30x}{6} = 5x
\]
\[
\frac{36y}{6} = 6y
\]
3. **Combine the simplified terms:**
\[
5x + 6y
\]
---
The final result of the division is \(5x + 6y\).
In the image, there is a rectangular box beneath the fraction, likely intended for students to write their simplified answer.
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