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Identify four fourths as one whole

A whole partitioned into four equal parts has four fourths, with each part representing one fourth, or 1/41/4, of the whole; therefore, four copies of 1/41/4 make 4/4=14/4=1 whole. This relationship connects fraction notation, equal partitions of shapes or lengths, and points on a number line, while distinguishing fourths from unequal parts or parts of different-sized wholes.

Detailed Explanation: Identify four fourths as one whole

A fourth is one of four equal parts of a whole. Each part is written as 14\frac14.

Example: A rectangle is split into 4 equal parts, and all 4 parts are shaded.

  1. Count the equal parts: there are 44 parts.
  2. Each part is one fourth, or 14\frac14.
  3. Count the shaded fourths: there are 44 of them.
  4. Write this as:
14+14+14+14=44\frac14+\frac14+\frac14+\frac14=\frac44
  1. Four fourths make one whole:
44=1\frac44=1

So, the entire rectangle is four fourths, which equals one whole. The parts must be equal in size for them to be fourths.

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Fractions Fourths - Which Completes the Whole


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