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you switch the second fraction around ( multiply by the reciprocal ) because it is way easier than trying to actually divide the fraction by dividing, you get the same answer. but we multiply by the recipricol because multiplying fractions is simpler.

example....

4/6 divided by 8/5

you then get

4/6 * 5/8

= 5/12

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Q: Why do you switch the numbers around when dividing fractions?
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