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
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
5

**Fractions:**
\[
\frac{8}{51} \quad \text{and} \quad \frac{19}{85}
\]
**Multiple Choice Answers:**
- ○ 255
- ○ 17
- ○ 4,335
**Explanation:**
To find the lowest common denominator (LCD) for the fractions \(\frac{8}{51}\) and \(\frac{19}{85}\), follow these steps:
1. **Identify the denominators:** The denominators are 51 and 85.
2. **Factorize the denominators:** Find the prime factors of each denominator.
- 51 = 3 × 17
- 85 = 5 × 17
3. **Determine the LCD:** The LCD is the smallest number that both 51 and 85 can divide into without leaving a remainder. You can find this by taking the highest power of each prime factor involved:
- Prime factors involved are: 3, 5, and 17.
- LCD = 3 × 5 × 17 = 255
**Answer:**
The correct answer is:
- ○ 255](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f7b3938-790b-4169-a858-04369df79473%2F55af0846-e148-4a78-a9b5-fee54270aac4%2Fmyavun9_processed.png&w=3840&q=75)
Transcribed Image Text:### Learning Task: Understanding Common Denominators
**Question:**
Find the lowest common denominator for the fractions shown below.

**Fractions:**
\[
\frac{8}{51} \quad \text{and} \quad \frac{19}{85}
\]
**Multiple Choice Answers:**
- ○ 255
- ○ 17
- ○ 4,335
**Explanation:**
To find the lowest common denominator (LCD) for the fractions \(\frac{8}{51}\) and \(\frac{19}{85}\), follow these steps:
1. **Identify the denominators:** The denominators are 51 and 85.
2. **Factorize the denominators:** Find the prime factors of each denominator.
- 51 = 3 × 17
- 85 = 5 × 17
3. **Determine the LCD:** The LCD is the smallest number that both 51 and 85 can divide into without leaving a remainder. You can find this by taking the highest power of each prime factor involved:
- Prime factors involved are: 3, 5, and 17.
- LCD = 3 × 5 × 17 = 255
**Answer:**
The correct answer is:
- ○ 255
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education