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Identify two halves as one whole

A half is one of two equal shares of the same whole; the two equal shares together make exactly one whole, represented as 2/2=12/2 = 1. This understanding applies to partitioned shapes, lengths, or collections, and distinguishes halves from two unequal parts; it provides a foundation for comparing fractions and composing fractions into wholes.

Detailed Explanation: Identify two halves as one whole

A half is one of 2 equal parts of the same whole.

If we put the two equal halves back together, we have the entire whole:

12+12=22=1\frac{1}{2}+\frac{1}{2}=\frac{2}{2}=1

Example: A rectangle is divided into 2 equal parts. Both parts are shaded. What fraction of the rectangle is shaded?

  1. The rectangle is split into 2 equal parts.
  2. Each part is one half, or 12\frac{1}{2}.
  3. Both halves are shaded, so count the shaded parts: 22.
  4. There are 22 equal parts in all, so the fraction is 22\frac{2}{2}.
  5. Two halves make one whole:
22=1\frac{2}{2}=1

So, the shaded amount is one whole rectangle. Remember: the parts must be equal for them to be halves.

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Fractions Halves - Which Set Makes a Whole


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