Final answer:
To order fractions from least to greatest, convert them to a common denominator and then compare. The correct order for the given fractions is 9/16, 3/4, 5/6, and finally 11/12.
Step-by-step explanation:
Ordering fractions from least to greatest can be challenging, but with a simple strategy, we can solve this question. To compare fractions 3/4, 11/12, 5/6, and 9/16, you can convert each to decimals, or find a common denominator to compare them directly. Let's find a common denominator for these fractions. The least common multiple (LCM) for the denominators 4, 12, 6, and 16 is 48. Now, let's convert each fraction:
- 3/4 = 36/48
- 11/12 = 44/48
- 5/6 = 40/48
- 9/16 = 27/48
With all fractions having the same denominator, we can now easily order them from least to greatest based on their numerators:
- 9/16 = 27/48 (Least)
- 3/4 = 36/48
- 5/6 = 40/48
- 11/12 = 44/48 (Greatest)
Therefore, the order from least to greatest is 9/16, 3/4, 5/6, then 11/12.