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3. Which lists these fractions in order from greatest to least?
[tex]\[ \frac{5}{6}, \frac{1}{12}, \frac{3}{8} \][/tex]

A. [tex]\(\frac{5}{6}, \frac{3}{8}, \frac{1}{12}\)[/tex]
B. [tex]\(\frac{3}{8}, \frac{5}{6}, \frac{1}{12}\)[/tex]
C. [tex]\(\frac{1}{12}, \frac{3}{8}, \frac{5}{6}\)[/tex]
D. [tex]\(\frac{5}{6}, \frac{1}{12}, \frac{3}{8}\)[/tex]



Answer :

GinnyAnswer
To determine which list orders the fractions [tex]\(\frac{5}{6}\)[/tex], [tex]\(\frac{1}{12}\)[/tex], and [tex]\(\frac{3}{8}\)[/tex] from greatest to least, we need to compare their values.

1. First Fraction: [tex]\(\frac{5}{6}\)[/tex]
- Numerical value: [tex]\(\frac{5}{6} \approx 0.8333\)[/tex].

2. Second Fraction: [tex]\(\frac{1}{12}\)[/tex]
- Numerical value: [tex]\(\frac{1}{12} \approx 0.0833\)[/tex].

3. Third Fraction: [tex]\(\frac{3}{8}\)[/tex]
- Numerical value: [tex]\(\frac{3}{8} = 0.375\)[/tex].

Now we can compare the values calculated above:
- [tex]\(\frac{5}{6} \approx 0.8333\)[/tex]
- [tex]\(\frac{3}{8} = 0.375\)[/tex]
- [tex]\(\frac{1}{12} \approx 0.0833\)[/tex]

Ordering these from greatest to least, we get:
- Greatest: [tex]\(\frac{5}{6} \approx 0.8333\)[/tex]
- Middle: [tex]\(\frac{3}{8} = 0.375\)[/tex]
- Least: [tex]\(\frac{1}{12} \approx 0.0833\)[/tex]

Thus, the correct order from greatest to least for these fractions is:
[tex]\[ \frac{5}{6}, \frac{3}{8}, \frac{1}{12} \][/tex]

The correct answer is:

A. [tex]\(\frac{5}{6}, \frac{3}{8}, \frac{1}{12}\)[/tex]

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