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Identify fractions equal to one whole

A fraction represents one whole when the numerator names all the equal-sized parts indicated by the denominator; thus fractions such as 2/22/2, 3/33/3, and 8/88/8 equal 11 and occupy the same point as 1 on a number line or bar model. This connects whole-number and fraction notation and prepares for equivalent fractions, without extending to more advanced simplification or generalized improper-fraction reasoning.

Detailed Explanation: Identify fractions equal to one whole

A fraction equals one whole when the numerator and denominator are the same.

  • The denominator tells how many equal parts make the whole.
  • The numerator tells how many of those parts we have.

For example, consider 44\frac{4}{4}.

  1. The denominator, 44, means the whole is divided into 44 equal parts.
  2. The numerator, 44, means we have all 44 parts.
  3. Having all the parts makes one whole.

So,

44=1\frac{4}{4}=1

On a number line, 44\frac{4}{4} is at the same point as 11. Fractions such as 22\frac{2}{2}, 33\frac{3}{3}, and 88\frac{8}{8} also equal one whole.

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Fraction Addition - Basic (Simplifying Answers) - No Changed Denominator


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