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,...
Related questions
Question
Rational expression
![**Adding Fractions with the Same Denominator**
In the exercise provided, we are asked to add the two fractions:
\[
\frac{6x}{33} + \frac{5x}{33}
\]
**Steps to Solve:**
1. **Identify the common denominator:** Both fractions have the same denominator, 33. This means we can directly add the numerators.
2. **Add the numerators:**
- \(6x + 5x = 11x\)
3. **Write the sum as a single fraction:**
- \(\frac{11x}{33}\)
4. **Simplify the fraction:** If possible, reduce the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. In this case, both 11 and 33 can be divided by 11.
- \(\frac{11x}{33} = \frac{x}{3}\)
Thus, the simplified answer is:
\[
\frac{x}{3}
\]
Remember to always simplify your answers whenever possible.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c693121-0c53-4461-96bf-03d77f2fd62b%2F0e86beb6-2ea4-40c6-977e-7bbb62db75b1%2Fofztg5a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Adding Fractions with the Same Denominator**
In the exercise provided, we are asked to add the two fractions:
\[
\frac{6x}{33} + \frac{5x}{33}
\]
**Steps to Solve:**
1. **Identify the common denominator:** Both fractions have the same denominator, 33. This means we can directly add the numerators.
2. **Add the numerators:**
- \(6x + 5x = 11x\)
3. **Write the sum as a single fraction:**
- \(\frac{11x}{33}\)
4. **Simplify the fraction:** If possible, reduce the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. In this case, both 11 and 33 can be divided by 11.
- \(\frac{11x}{33} = \frac{x}{3}\)
Thus, the simplified answer is:
\[
\frac{x}{3}
\]
Remember to always simplify your answers whenever possible.
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Given query is to simplify the expression.
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