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Identify halves

A half is one of two equal-sized parts of a whole, represented by the fraction 12\tfrac{1}{2}; the two parts together make one whole. This understanding applies to partitioned shapes, lengths, sets, and number-line positions, and distinguishes equal halves from two parts that are merely unequal, supporting comparison and equivalence of simple fractions.

Detailed Explanation: Identify halves

A half is one of two equal-sized parts of a whole. We write a half as 12\tfrac{1}{2}.

Example: A strip is 88 centimeters long. It is divided into two parts: one part is 44 centimeters long, and the other part is 44 centimeters long. The first part is shaded.

  1. Count the parts: there are 22 parts.
  2. Check their sizes: both parts are 44 centimeters long, so they are equal.
  3. Since the whole is split into two equal parts, each part is a half.
  4. The shaded part is 12\tfrac{1}{2} of the strip.

The two halves together make the whole: 12+12=1\tfrac{1}{2}+\tfrac{1}{2}=1.

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Fractions Halves - Which Set Makes a Whole


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