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Identify one fourth

A one-fourth is one of four equal-sized parts of a whole, written 14\frac{1}{4}; the whole may be a region, length, or collection, and all four fourths together make the whole. The learner identifies fourths in pictures, partitioned shapes, sets, and number lines, recognizing that unequal parts are not fourths and that the size of 14\frac{1}{4} depends on the whole.

Detailed Explanation: Identify one fourth

A fourth is one of four equal-sized parts of a whole. We write one fourth as 14\frac{1}{4}.

Example: Which fraction of the rectangle is part C?

+-----+-----+-----+-----+
|  A  |  B  |  C  |  D  |
+-----+-----+-----+-----+
  1. Look at the whole rectangle.
  2. Count the equal parts: there are 44 parts.
  3. Part C is just 11 of those parts.
  4. So part C is 14\boxed{\frac{1}{4}} of the rectangle.

All four parts together make the whole:
14+14+14+14=1\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=1.

Remember: the parts must be equal-sized. If one part is larger than the others, it is not a fourth.

Learn by doing: Identify one fourth

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    Fractions Fourths - Which Shows One Fourth

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