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One quarter divided by one quarter is one (unity).

Any quantity divided by itself gives the result of unity, where unity means 1

The result of 12 divided by 6 is 2, can be asked in a different way, "How many sixes are there in twelve?" - and the anser is 2

Similarly asking "how many quarters are there in a quarter" gives the answer 2

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Q: What is One quarter divided by one quarter?
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