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.