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Order these rationals from least to greatest

1/5 -9/10 -7/8 1/4 8/33 -6/7 2/11 -31/33 -3/5 2/9​

User Alexdej
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1 Answer

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Final answer:

The ordered rational numbers from least to greatest are: -31/33, -9/10, -7/8, -6/7, -3/5, 1/4, 1/5, 2/9, 2/11, 8/33.

Step-by-step explanation:

To order them, we can use a common denominator.

1)). Convert all the fractions to have a common denominator of 660 (which is the least common multiple of 5, 10, 8, 4, 33, 7, 11, 33, 5, and 9).

2)). Order the resulting fractions from least to greatest:

  1. -31/33
  2. -9/10
  3. -7/8
  4. -6/7
  5. -3/5
  6. 1/4
  7. 1/5
  8. 2/9
  9. 2/11
  10. 8/33

Therefore, the ordered rational numbers from least to greatest are:

-31/33, -9/10, -7/8, -6/7, -3/5, 1/4, 1/5, 2/9, 2/11, 8/33.

User Eunsu Kim
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