Final answer:
To order the negative fractions from least to greatest, they are arranged based on how close they are to being a whole negative number. Thus, the sequence is -5/6, -4/5, -3/4, -2/3, and -5/11.
Step-by-step explanation:
To order the given fractions from least to greatest, we need to compare their values. Remember that with negative numbers, a number with a greater absolute value is actually smaller. We'll convert each fraction to a decimal form to make comparison easier, or recognize the fraction closer to being whole (a denominator closer to its numerator) as the larger negative number.
- -5/6 is closest to -1, thus the smallest.
- -4/5 is the next closest to being whole.
- -3/4 comes after as it is slightly further from being whole compared to -4/5.
- -2/3 is less negative than -3/4, making it greater in the context of negative numbers.
- -5/11 is the least negative and hence the greatest of these numbers as it is furthest from -1.
Therefore, when ordered from least to greatest, the fractions are: -5/6, -4/5, -3/4, -2/3, -5/11.