I believe that my reciprocal examples are incorrect. They should be 5/(3/4), 1/(9/10), and (7/5)/(5/7). tkhunny provided an excellent example that helped my see how to make the reciprocal of these complex fractions.

I can prove that these are correct by multiplying them as follows:

(3/4)/ 5 * 5/(3/4) = 1

(9/10)/1 * 1/(9/10) = 1

(5/7)/(7/8) * (7/8)/(5/7) = 1

A

fraction multiplied by its reciprocal is one (1).

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