Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
To determine which fraction is equivalent to [tex]\(\frac{1}{6}\)[/tex], we need to compare each given fraction to [tex]\(\frac{1}{6}\)[/tex] by simplifying them to their simplest form or by comparing their decimal values.
1. Compare [tex]\(\frac{3}{8}\)[/tex] to [tex]\(\frac{1}{6}\)[/tex]:
- Convert each fraction to decimal form:
[tex]\[ \frac{1}{6} = 0.1667 \quad (\text{approximately}) \][/tex]
[tex]\[ \frac{3}{8} = 0.375 \][/tex]
- Clearly, [tex]\(0.375 \neq 0.1667\)[/tex], so [tex]\(\frac{3}{8}\)[/tex] is not equivalent to [tex]\(\frac{1}{6}\)[/tex].
2. Compare [tex]\(\frac{2}{8}\)[/tex] to [tex]\(\frac{1}{6}\)[/tex]:
- Simplify [tex]\(\frac{2}{8}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[ \frac{2}{8} = \frac{1}{4} \][/tex]
- Convert each fraction to decimal form:
[tex]\[ \frac{1}{4} = 0.25 \][/tex]
[tex]\[ \frac{1}{6} = 0.1667 \][/tex]
- Clearly, [tex]\(0.25 \neq 0.1667\)[/tex], so [tex]\(\frac{2}{8}\)[/tex] is not equivalent to [tex]\(\frac{1}{6}\)[/tex].
3. Compare [tex]\(\frac{3}{24}\)[/tex] to [tex]\(\frac{1}{6}\)[/tex]:
- Simplify [tex]\(\frac{3}{24}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
[tex]\[ \frac{3}{24} = \frac{1}{8} \][/tex]
- Convert each fraction to decimal form:
[tex]\[ \frac{1}{8} = 0.125 \][/tex]
[tex]\[ \frac{1}{6} = 0.1667 \][/tex]
- Clearly, [tex]\(0.125 \neq 0.1667\)[/tex], so [tex]\(\frac{3}{24}\)[/tex] is not equivalent to [tex]\(\frac{1}{6}\)[/tex].
4. Compare [tex]\(\frac{4}{24}\)[/tex] to [tex]\(\frac{1}{6}\)[/tex]:
- Simplify [tex]\(\frac{4}{24}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
[tex]\[ \frac{4}{24} = \frac{1}{6} \][/tex]
- Since [tex]\(\frac{4}{24}\)[/tex] simplifies exactly to [tex]\(\frac{1}{6}\)[/tex], these fractions are equivalent.
Therefore, the fraction that is equivalent to [tex]\(\frac{1}{6}\)[/tex] is [tex]\(\frac{4}{24}\)[/tex].
1. Compare [tex]\(\frac{3}{8}\)[/tex] to [tex]\(\frac{1}{6}\)[/tex]:
- Convert each fraction to decimal form:
[tex]\[ \frac{1}{6} = 0.1667 \quad (\text{approximately}) \][/tex]
[tex]\[ \frac{3}{8} = 0.375 \][/tex]
- Clearly, [tex]\(0.375 \neq 0.1667\)[/tex], so [tex]\(\frac{3}{8}\)[/tex] is not equivalent to [tex]\(\frac{1}{6}\)[/tex].
2. Compare [tex]\(\frac{2}{8}\)[/tex] to [tex]\(\frac{1}{6}\)[/tex]:
- Simplify [tex]\(\frac{2}{8}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[ \frac{2}{8} = \frac{1}{4} \][/tex]
- Convert each fraction to decimal form:
[tex]\[ \frac{1}{4} = 0.25 \][/tex]
[tex]\[ \frac{1}{6} = 0.1667 \][/tex]
- Clearly, [tex]\(0.25 \neq 0.1667\)[/tex], so [tex]\(\frac{2}{8}\)[/tex] is not equivalent to [tex]\(\frac{1}{6}\)[/tex].
3. Compare [tex]\(\frac{3}{24}\)[/tex] to [tex]\(\frac{1}{6}\)[/tex]:
- Simplify [tex]\(\frac{3}{24}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
[tex]\[ \frac{3}{24} = \frac{1}{8} \][/tex]
- Convert each fraction to decimal form:
[tex]\[ \frac{1}{8} = 0.125 \][/tex]
[tex]\[ \frac{1}{6} = 0.1667 \][/tex]
- Clearly, [tex]\(0.125 \neq 0.1667\)[/tex], so [tex]\(\frac{3}{24}\)[/tex] is not equivalent to [tex]\(\frac{1}{6}\)[/tex].
4. Compare [tex]\(\frac{4}{24}\)[/tex] to [tex]\(\frac{1}{6}\)[/tex]:
- Simplify [tex]\(\frac{4}{24}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
[tex]\[ \frac{4}{24} = \frac{1}{6} \][/tex]
- Since [tex]\(\frac{4}{24}\)[/tex] simplifies exactly to [tex]\(\frac{1}{6}\)[/tex], these fractions are equivalent.
Therefore, the fraction that is equivalent to [tex]\(\frac{1}{6}\)[/tex] is [tex]\(\frac{4}{24}\)[/tex].
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
