Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
To determine which set of fractions is ordered from least to greatest, let's examine each choice and compare the fractions.
We start with the given fractions: [tex]\(\frac{7}{8}, \frac{5}{11}, \frac{2}{3}\)[/tex].
To compare the fractions, let's convert each one to its decimal equivalent:
1. [tex]\(\frac{7}{8}\)[/tex]:
- Decimal: [tex]\( \frac{7}{8} = 0.875 \)[/tex]
2. [tex]\(\frac{5}{11}\)[/tex]:
- Decimal: [tex]\( \frac{5}{11} \approx 0.4545 \)[/tex]
3. [tex]\(\frac{2}{3}\)[/tex]:
- Decimal: [tex]\( \frac{2}{3} \approx 0.6667 \)[/tex]
Now, we need to order these decimal values from least to greatest:
- [tex]\(0.4545\)[/tex]
- [tex]\(0.6667\)[/tex]
- [tex]\(0.875\)[/tex]
So, the fractions in ascending order are:
[tex]\[ \frac{5}{11}, \frac{2}{3}, \frac{7}{8} \][/tex]
Now, let's review the choices given:
A) [tex]$\frac{7}{8}, \frac{5}{11}, \frac{2}{3}$[/tex]
B) [tex]$\frac{5}{11}, \frac{7}{8}, \frac{2}{3}$[/tex]
C) [tex]$\frac{2}{3}, \frac{5}{11}, \frac{7}{8}$[/tex]
D) [tex]$\frac{5}{11}, \frac{2}{3}, \frac{7}{8}$[/tex]
Among these choices, the correct order from smallest to largest is in:
D) [tex]$\frac{5}{11}, \frac{2}{3}, \frac{7}{8}$[/tex]
Thus, the answer is:
D
We start with the given fractions: [tex]\(\frac{7}{8}, \frac{5}{11}, \frac{2}{3}\)[/tex].
To compare the fractions, let's convert each one to its decimal equivalent:
1. [tex]\(\frac{7}{8}\)[/tex]:
- Decimal: [tex]\( \frac{7}{8} = 0.875 \)[/tex]
2. [tex]\(\frac{5}{11}\)[/tex]:
- Decimal: [tex]\( \frac{5}{11} \approx 0.4545 \)[/tex]
3. [tex]\(\frac{2}{3}\)[/tex]:
- Decimal: [tex]\( \frac{2}{3} \approx 0.6667 \)[/tex]
Now, we need to order these decimal values from least to greatest:
- [tex]\(0.4545\)[/tex]
- [tex]\(0.6667\)[/tex]
- [tex]\(0.875\)[/tex]
So, the fractions in ascending order are:
[tex]\[ \frac{5}{11}, \frac{2}{3}, \frac{7}{8} \][/tex]
Now, let's review the choices given:
A) [tex]$\frac{7}{8}, \frac{5}{11}, \frac{2}{3}$[/tex]
B) [tex]$\frac{5}{11}, \frac{7}{8}, \frac{2}{3}$[/tex]
C) [tex]$\frac{2}{3}, \frac{5}{11}, \frac{7}{8}$[/tex]
D) [tex]$\frac{5}{11}, \frac{2}{3}, \frac{7}{8}$[/tex]
Among these choices, the correct order from smallest to largest is in:
D) [tex]$\frac{5}{11}, \frac{2}{3}, \frac{7}{8}$[/tex]
Thus, the answer is:
D
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.