Identify the numeric order of these fractions and mixed numbers from smallest to largest: 46

Question

, 256
, 212
, 234
.(1 point)
Responses

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

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

25
, 411
, 617
, 46
Start Fraction 2 over 5 End Fraction , Start Fraction 4 over 11 End Fraction , Start Fraction 6 over 17 End Fraction , Start Fraction 4 over 6 End Fraction

Answer 1

To arrange the given fractions and mixed numbers in numeric order from smallest to largest, let's first convert them into improper fractions or decimal form for easier comparison.

1. 46 which is simply $46$.
2. 212 which is $2\frac{1}{2}=\frac{5}{2}=2.5$.
3. 234 which is $2\frac{3}{4}=\frac{11}{4}=2.75$.
4. 256 which is $2\frac{5}{6}=\frac{17}{6}\approx 2.8333$.

Now we'll summarize and arrange these in decimal form:

• 46 = 46
• 212 = 2.5
• 234 = 2.75
• 256 ≈ 2.8333

In numeric order from smallest to largest:

• $2\frac{1}{2}(212)$
• $2\frac{3}{4}(234)$
• $2\frac{5}{6}(256)$
• $46$

Thus, the correct order is:

2 Start Fraction 1 over 2 End Fraction , 2 Start Fraction 3 over 4 End Fraction , 2 Start Fraction 5 over 6 End Fraction , 46.