Question

Question
Identify the numeric order of these fractions and mixed numbers from smallest to largest: 46
, 256
, 212
, 234
.(1 point)
Responses

52
, 114
, 176
, 46
Start Fraction 5 over 2 End Fraction , Start Fraction 11 over 4 End Fraction , Start Fraction 17 over 6 End Fraction , Start Fraction 4 over 6 End Fraction

46
, 212
, 234
, 256
Start Fraction 4 over 6 End Fraction , 2 Start Fraction 1 over 2 End Fraction , 2 Start Fraction 3 over 4 End Fraction , 2 Start Fraction 5 over 6 End Fraction

256
, 234
, 212
, 46
2 Start Fraction 5 over 6 End Fraction , 2 Start Fraction 3 over 4 End Fraction , 2 Start Fraction 1 over 2 End Fraction , Start Fraction 4 over 6 End Fraction

25
, 411
, 617
, 46

Answer 1

To compare the fractions and mixed numbers, we first need to convert all of them into improper fractions or decimal form if needed.

Let's convert the mixed numbers:

1. **Start Fraction 5 over 2 End Fraction** = \(2 \frac{1}{2} = 2.5\) or \(\frac{5}{2}\)
2. **Start Fraction 11 over 4 End Fraction** = \(2 \frac{3}{4} = 2.75\) or \(\frac{11}{4}\)
3. **Start Fraction 17 over 6 End Fraction** = \(2 \frac{5}{6} \approx 2.8333\) or \(\frac{17}{6}\)
4. **Start Fraction 4 over 6 End Fraction** = \(\frac{2}{3} \approx 0.6667\)

Now let's look at the numeric values:

- **2.5** (or \(\frac{5}{2}\))
- **2.75** (or \(\frac{11}{4}\))
- **2.8333** (or \(\frac{17}{6}\))
- **0.6667** (or \(\frac{4}{6}\))

Now, we can order these fractions and mixed numbers from smallest to largest:
1. \( \frac{4}{6}\) (or \( \approx 0.6667\))
2. \( \frac{5}{2}\) (or \(2.5\))
3. \( \frac{11}{4}\) (or \(2.75\))
4. \( \frac{17}{6}\) (or \(2.8333\))

So, the correct numeric order of these fractions and mixed numbers from smallest to largest is:

**Start Fraction 4 over 6 End Fraction , Start Fraction 5 over 2 End Fraction , Start Fraction 11 over 4 End Fraction , Start Fraction 17 over 6 End Fraction.**