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How to Decide to Use Improper Fractions or Mixed Numbers

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Decide to Use Improper Fractions or Mixed Numbers

Confused about when you should write a mixed number like 33/8, or an "improper" fraction like 27/8? Here is exactly when you should use each form, and why.

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  1. 1
    Write formulas using improper fractions, not mixed numbers. You will have to convert to improper fractions, anyway.
  2. 2
    Generally, post college-algebra classes do not require conversion to mixed numerals. They still need to be in lowest terms. Teachers in such classes are not interested in whether the students know how to make the conversion.
  3. 3
    Do not convert to a mixed number if you expect to have to plug the answer into another equation. Improper fractions are much easier to work with.
  4. 4
    Always convert to a mixed number if a final (fractional) answer is a measurement. Saying 23/10 cups does not convey as much meaning as 23/10 cups.
  5. 5
    Report graphed coordinates as improper fractions, unless directed to do otherwise. Improper fractions will seem more precise.
  6. 6
    Report coordinates on maps as mixed numbers. Convert to minutes and seconds if directed to do so.
  7. 7
    Use parenthesis to show both formats when used in written reports.
    • For example: The average family size in the U.S.A. is 34/7 (25/7).

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Last edited:
May 28, 2012 by Carterchas

Categories:
Featured Articles | Fractions

Recent edits by: BR, LimeUnicorn, Ben Kovitz (see all)

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