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Identify proper fractions

A proper fraction has a whole-number numerator less than its positive whole-number denominator and represents a quantity greater than or equal to zero and less than one, as shown by a point between 0 and 1 on a number line or by less than one whole in an area model. The distinction from an improper fraction or mixed number supports fraction comparison, ordering, and later work with equivalent fractions; more advanced fraction forms and generalizations are not included.

Detailed Explanation: Identify proper fractions

A proper fraction has:

  • a whole-number numerator that is less than the denominator, and
  • a positive whole-number denominator.

A proper fraction names an amount from 00 up to, but not including, 11 whole.

Example: Is 35\frac{3}{5} a proper fraction?

  1. Look at the numerator: 33.
  2. Look at the denominator: 55.
  3. Compare them: 3<53<5.
  4. Since the numerator is less than the denominator, 35\frac{3}{5} is a proper fraction.

The fraction 35\frac{3}{5} means 3 out of 5 equal parts. It is less than one whole, so it would be located between 00 and 11 on a number line.

Learn by doing: Identify proper fractions

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Fraction Dominoes Compare - Same Denominator Above or Below 1


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