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Select the proper order from least to greatest for [tex]\(\frac{1}{2}, \frac{5}{6}, \frac{2}{7}, \frac{4}{2}\)[/tex].

A. [tex]\(\frac{2}{7}, \frac{1}{2}, \frac{5}{6}, \frac{4}{2}\)[/tex]
B. [tex]\(\frac{4}{2}, \frac{2}{7}, \frac{5}{6}, \frac{1}{2}\)[/tex]
C. [tex]\(\frac{4}{2}, \frac{5}{6}, \frac{1}{2}, \frac{2}{7}\)[/tex]
D. [tex]\(\frac{2}{7}, \frac{5}{6}, \frac{1}{2}, \frac{4}{2}\)[/tex]



Answer :

GinnyAnswer
To solve the problem, we need to compare the given fractions and list them in ascending order from least to greatest.

The given fractions are:
[tex]\[ \frac{1}{2}, \frac{5}{6}, \frac{2}{7}, \frac{4}{2} \][/tex]

Let's convert each fraction to a decimal for easier comparison:

1. [tex]\(\frac{1}{2} = 0.5\)[/tex]
2. [tex]\(\frac{5}{6} \approx 0.8333\)[/tex]
3. [tex]\(\frac{2}{7} \approx 0.2857\)[/tex]
4. [tex]\(\frac{4}{2} = 2\)[/tex]

Now, we can clearly see the decimal values:
- [tex]\(\frac{2}{7} \approx 0.2857\)[/tex] is the smallest.
- [tex]\(\frac{1}{2} = 0.5\)[/tex] comes next.
- [tex]\(\frac{5}{6} \approx 0.8333\)[/tex] is after that.
- [tex]\(\frac{4}{2} = 2\)[/tex] is the largest.

Thus, the correct order from least to greatest is:
[tex]\[ \frac{2}{7}, \frac{1}{2}, \frac{5}{6}, \frac{4}{2} \][/tex]

So, the correct answer is:
A. [tex]\(2 / 7,1 / 2,5 / 6,4 / 2\)[/tex].

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