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Because multiplication and division are inverses of each other. We do the same thing with whole numbers, we just don't notice it.

12 divided by 2 equals 12 divided by 2/1 = 12 x 1/2

3/4 x 5/2 is easier to calculate than 3/4 divided by 2/5

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Q: Why we invert and multiply when dividing fractions?
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