(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If I have some fraction, a/b, in Z subscript 5. (Z is an integer Field) How should I go about doing this?

2. Relevant equations

I understand that (ab) mod n = ((a mod n)(b mod n)) mod n

3. The attempt at a solution

Thus, I am tempted to say that (a/b) mod n = ((a mod n)/(b mod n)) mod n

However, following that equation, there will be times where I will also end up with a fraction.

exmaple, ((7 mod 5) / ( 24 mod 5)) mod 5 = (2/4) mod 5

= 1/2

So how should I go about solving 7/24 in Z5 or something similar?

I have a feeling I'm missing something obvious.

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# Modular Arithmatic

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