# Thread: What are inverses or reciprocals of (3/4)/5, (9/10)/1, and (5/7)/(7/8) ?

1. Originally Posted by KWF
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).
Correct -- except that you had another typo when you wrote (7/5)/(5/7), meaning (7/8)/(5/7) as you wrote later.

2. Originally Posted by Dr.Peterson
Correct -- except that you had another typo when you wrote (7/5)/(5/7), meaning (7/8)/(5/7) as you wrote later.

Thanks for bringing that error to my attention! I'll proof read more carefully in the future.

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