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
![**Instructions:**
Use `<` or `>` to make the statement true.
\[
\frac{1}{5} \, ? \, \frac{2}{6}
\]
**Interactive Section:**
Select the appropriate symbol from the dropdown to compare the fractions:
\[
\frac{1}{5} \, \boxed{\text{▼}} \, \frac{2}{6}
\]
**Explanation:**
To compare the fractions \(\frac{1}{5}\) and \(\frac{2}{6}\), it is helpful to find a common denominator or evaluate their decimal equivalents.
- \(\frac{1}{5} = 0.2\)
- \(\frac{2}{6} = 0.333...\)
Since \(0.2 < 0.333...\), the correct relational symbol is \(<\). Therefore:
\[
\frac{1}{5} < \frac{2}{6}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F974404e3-d78b-4ed1-b229-8d40c1b378ea%2Fd6526147-c267-4aae-a7cd-37aacdc2a76c%2F3z2vbk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Instructions:**
Use `<` or `>` to make the statement true.
\[
\frac{1}{5} \, ? \, \frac{2}{6}
\]
**Interactive Section:**
Select the appropriate symbol from the dropdown to compare the fractions:
\[
\frac{1}{5} \, \boxed{\text{▼}} \, \frac{2}{6}
\]
**Explanation:**
To compare the fractions \(\frac{1}{5}\) and \(\frac{2}{6}\), it is helpful to find a common denominator or evaluate their decimal equivalents.
- \(\frac{1}{5} = 0.2\)
- \(\frac{2}{6} = 0.333...\)
Since \(0.2 < 0.333...\), the correct relational symbol is \(<\). Therefore:
\[
\frac{1}{5} < \frac{2}{6}
\]
Expert Solution

Step 1
Given that,
There are two fraction following,
and
We have to find which fraction is greater.
Step by step
Solved in 2 steps

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