Final answer:
The correct order of the fractions from least to greatest is 1/7, 3/4, 5/6. Therefore, the inequality that compares these fractions correctly is 1/7 < 3/4 < 5/6.
Step-by-step explanation:
To compare the fractions 3/4, 1/7, and 5/6 and order them from least to greatest, we can convert each fraction to a decimal or find a common denominator to compare them more easily.
- To convert the fractions to decimals:
- Understanding that a larger denominator means the fraction is divided into more pieces, we infer that 1/7 is the smallest since 7 is the largest denominator.
- We can then compare 3/4 and 5/6 by either finding a common denominator or converting them to decimals. Either method will show that 5/6 is larger than 3/4.
Therefore, the correct order from least to greatest is 1/7, 3/4, 5/6. The correct inequality would be 1/7 < 3/4 < 5/6. So, the correct choice is A.1/7, 3/4, 5/6.