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When dividing fractions, you can find the quotient by multiplying them with the second fraction reciprocated. e.g. 5/6 divided by 7/8 = 5/6 times 8/7. Why does this work?

N. F. Taussig
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user226105
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    This thread should give you the answer.

    http://math.stackexchange.com/questions/71157/proof-of-dividing-fractional-expressions

     – AlexMayle Mar 24 '15 at 17:14
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    This question, IMHO, begs for an intuitive answer [e.g. groups, group size, area model etc.], whereas the alleged question "that has been asked before" only gives very technical explanations. – John Joy May 13 '19 at 19:35

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Because:

If a : x = b, then what is y such that a . y = b ?

I mean express y in terms of x and you will see why it works.

peter.petrov
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