Question

Question
Identify the numeric order of these fractions from smallest to largest: 36
, 16
, 56
, 26
.(1 point)
Responses

36
, 26
, 16
, 56
Start Fraction 3 over 6 End Fraction , Start Fraction 2 over 6 End Fraction , Start Fraction 1 over 6 End Fraction , Start Fraction 5 over 6 End Fraction

3036
, 1836
, 1236
, 636
Start Fraction 30 over 36 End Fraction , Start Fraction 18 over 36 End Fraction , Start Fraction 12 over 36 End Fraction , Start Fraction 6 over 36 End Fraction

1836
, 56
, 636
, 26
Start Fraction 18 over 36 End Fraction , Start Fraction 5 over 6 End Fraction , Start Fraction 6 over 36 End Fraction , Start Fraction 2 over 6 End Fraction

16
, 26
, 36
, 56

Answer 1

To order the fractions from smallest to largest, we first convert all fractions into a common denominator or into decimal form for easier comparison.

Given fractions are:
- \( \frac{3}{6} = 0.5 \)
- \( \frac{2}{6} \)
- \( \frac{1}{6} \)
- \( \frac{5}{6} \)

### Let's convert these fractions to their decimal equivalents:
- \( \frac{3}{6} = 0.5 \)
- \( \frac{2}{6} = \frac{1}{3} \approx 0.3333 \)
- \( \frac{1}{6} \approx 0.1667 \)
- \( \frac{5}{6} \approx 0.8333 \)

### Now, let's order them from smallest to largest based on their decimal equivalents:
1. \( \frac{1}{6} \approx 0.1667 \)
2. \( \frac{2}{6} \approx 0.3333 \)
3. \( \frac{3}{6} = 0.5 \)
4. \( \frac{5}{6} \approx 0.8333 \)

### Therefore, the fractions in order from smallest to largest are:
1. \( \frac{1}{6} \)
2. \( \frac{2}{6} \)
3. \( \frac{3}{6} \)
4. \( \frac{5}{6} \)

### The corresponding option with fractions in this order is:
**Start Fraction 1 over 6 End Fraction, Start Fraction 2 over 6 End Fraction, Start Fraction 3 over 6 End Fraction, Start Fraction 5 over 6 End Fraction**.

This matches with the numeric order as:
- 1/6, 2/6, 3/6, 5/6.

### Final Sorted Order:
- \( 16, 26, 36, 56 \)

**Correct option: \( 16, 26, 36, 56 \)**.