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Quotition: "How many parts of size must be added to get a sum of ?"
# Partition: "What is the size of each of equal parts whose sum is ?"

For example, the quotient can be conceived of as representing either of the decompositions:

In the rational number system used in elementary mathematics, the numerical answer is always the same regardless of interpretation, as a consequence of the commutativity of multiplication.

Quotition

Thought

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