How do you order the numbers from least to greatest: #2 2/5, 11/5, 2 3/10, 31/10#?

Answer 1

#"Least to greatest "->" "11/5", "2 3/10", "2 2/5", "31/10#

A fraction's structure is of form:#" "("count")/("size indicator") -> ("numerator")/("denominator")#
You can not directly #ul("compare the counts")# unless the size indicators are the same.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(brown)("The first one is done in detail. The rest not so.")#
Consider #" "2 2/5#
Write as #2+2/5#
#color(brown)("Multiply by 1 and you do not change the value. However, 1 comes in")##color(brown)("many forms. So you can change the way it looks without")##color(brown)("changing its actual value.")#
#color(green)([2color(red)(xx1)]+[2/5color(red)(xx1)])#
#color(green)([2color(red)(xx10/10)]+[2/5color(red)(xx2/2)])#
#[20/10] +[4/10] = 24/10#
Consider #11/5=22/10#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Consider #2 3/10 = 23/10#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Putting it all together")#
Given fraction#" "2 2/5" "11/5" "2 3/10" "31/10#
Equivalent fraction#" "24/10" "22/10" "23/10" "31/10 #
Least to greatest count#" "22/10," "23/10", "24/10", "31/10#
#"Least to greatest "->" "11/5", "2 3/10", "2 2/5", "31/10#
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Answer 2

To order the numbers from least to greatest:

  1. Convert all mixed numbers to improper fractions.
  2. Find a common denominator.
  3. Compare the fractions.

The numbers are:

  1. (2 \frac{2}{5}) which is equivalent to (\frac{12}{5})
  2. (11/5)
  3. (2 \frac{3}{10}) which is equivalent to (\frac{23}{10})
  4. (31/10)

Ordering them:

  1. (\frac{12}{5})
  2. (11/5)
  3. (\frac{23}{10})
  4. (31/10)
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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