Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
To determine which fraction is larger between [tex]\(\frac{2}{9}\)[/tex] and [tex]\(\frac{3}{8}\)[/tex], and to plot a fraction equivalent to [tex]\(\frac{2}{9}\)[/tex], follow these steps:
### Step 1: Compare the Fractions
First, convert both fractions to decimal form for easier comparison.
- [tex]\(\frac{2}{9} \approx 0.2222\)[/tex]
- [tex]\(\frac{3}{8} = 0.375\)[/tex]
Comparing these decimal values:
- [tex]\(0.2222\)[/tex] is less than [tex]\(0.375\)[/tex]
So, [tex]\(\frac{3}{8}\)[/tex] is larger than [tex]\(\frac{2}{9}\)[/tex].
### Step 2: Plot an Equivalent Fraction to [tex]\(\frac{2}{9}\)[/tex]
To find an equivalent fraction to [tex]\(\frac{2}{9}\)[/tex], we can multiply the numerator and the denominator of [tex]\(\frac{2}{9}\)[/tex] by the same number. In this case, we'll use 8:
- Multiply both the numerator (2) and the denominator (9) by 8:
[tex]\[ \frac{2 \times 8}{9 \times 8} = \frac{16}{72} \][/tex]
Thus, [tex]\(\frac{16}{72}\)[/tex] is an equivalent fraction to [tex]\(\frac{2}{9}\)[/tex].
### Summary of Solutions
- The fraction [tex]\(\frac{3}{8}\)[/tex] is larger than [tex]\(\frac{2}{9}\)[/tex].
- An equivalent fraction to [tex]\(\frac{2}{9}\)[/tex] is [tex]\(\frac{16}{72}\)[/tex].
By comparing decimal values and using equivalent fractions, we've determined the comparison and generated an equivalent fraction that represents the same value on the number line.
### Step 1: Compare the Fractions
First, convert both fractions to decimal form for easier comparison.
- [tex]\(\frac{2}{9} \approx 0.2222\)[/tex]
- [tex]\(\frac{3}{8} = 0.375\)[/tex]
Comparing these decimal values:
- [tex]\(0.2222\)[/tex] is less than [tex]\(0.375\)[/tex]
So, [tex]\(\frac{3}{8}\)[/tex] is larger than [tex]\(\frac{2}{9}\)[/tex].
### Step 2: Plot an Equivalent Fraction to [tex]\(\frac{2}{9}\)[/tex]
To find an equivalent fraction to [tex]\(\frac{2}{9}\)[/tex], we can multiply the numerator and the denominator of [tex]\(\frac{2}{9}\)[/tex] by the same number. In this case, we'll use 8:
- Multiply both the numerator (2) and the denominator (9) by 8:
[tex]\[ \frac{2 \times 8}{9 \times 8} = \frac{16}{72} \][/tex]
Thus, [tex]\(\frac{16}{72}\)[/tex] is an equivalent fraction to [tex]\(\frac{2}{9}\)[/tex].
### Summary of Solutions
- The fraction [tex]\(\frac{3}{8}\)[/tex] is larger than [tex]\(\frac{2}{9}\)[/tex].
- An equivalent fraction to [tex]\(\frac{2}{9}\)[/tex] is [tex]\(\frac{16}{72}\)[/tex].
By comparing decimal values and using equivalent fractions, we've determined the comparison and generated an equivalent fraction that represents the same value on the number line.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.