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Identify four fourths as one whole

A whole divided into four equal parts has four fourths, with each part representing one fourth (¼); all four parts together make exactly one whole, represented as 4/4 = 1. This understanding applies to area and length models and distinguishes fourths from four unequal pieces, establishing the foundation for comparing, composing, and interpreting fractions.

Detailed Explanation: Identify four fourths as one whole

A fourth is one of 4 equal parts of a whole.

Imagine a rectangle divided into 4 equal parts:

  1. The whole rectangle is split into 4 equal parts.
  2. Each part is called one fourth, written as 14\frac{1}{4}.
  3. Count all the parts: 14+14+14+14\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}.
  4. All 4 fourths make the whole rectangle:
44=1\frac{4}{4}=1

So, four fourths equal one whole. The parts must be equal; four unequal pieces do not make four fourths.

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