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Share an object into fourths

A whole object or region can be partitioned into four equal shares, with each share called one fourth or one-quarter and represented as 1/41/4; the four equal shares together make the whole. The shares must be equal in amount or area, even if their shapes or orientations differ, and this understanding does not include comparing, adding, or subtracting fractions or working with more general fractional quantities.

Detailed Explanation: Share an object into fourths

To share a whole into fourths, split it into 4 equal parts. Each equal part is called one fourth, written as 14\frac14.

Example: Share this rectangle into fourths.

  1. Start with the whole rectangle.
  2. Divide it into 4 strips that are the same size.
  3. Check that each strip has the same amount of area.
  4. Each strip is 14\frac14 of the rectangle.
  5. The 4 fourths together make the whole rectangle:
14+14+14+14=1 whole\frac14+\frac14+\frac14+\frac14=\text{1 whole}

So, the rectangle has been shared into four equal fourths.

Learn by doing: Share an object into fourths

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Fractions Fourths - Which Is Divided Evenly


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