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Find the missing half

Understands that a whole divided into two equal parts consists of two halves, so the missing half must match the size and structure of the given half and together they make the complete whole. This reasoning applies to shaded or unshaded regions in simple shapes, bar models, and small collections of objects; it does not extend to unequal partitions, complex fractions, or formal fraction operations.

Detailed Explanation: Find the missing half

A whole split into 2 equal parts has 2 halves. If you can see one half, the missing half must be the other part that is the same size and shape.

Example:

A rectangle is split into 2 equal parts. The left half is shaded. What is the missing half?

+-------+-------+
| shaded|       |
|  half |   ?   |
+-------+-------+

Step 1: Look at the whole rectangle. It is split into 2 equal parts.

Step 2: One part is already shown: the shaded half.

Step 3: The missing half is the blank part. It must be the same size as the shaded part.

+-------+-------+
| shaded| blank |
|  half |  half |
+-------+-------+

So, the blank part is the other half. Together, the two halves make the whole rectangle:

half+half=whole\text{half}+\text{half}=\text{whole}

Learn by doing: Find the missing half

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Fractions Halves - Which Completes the Whole


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