What is the reduced fraction 29 over 100?

29/100 because 29 is a Prime number (which means it can only be divided by itself and 1)

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Correct answer but reasoning flawed. What is important is not that 29 is a prime number but that 29 and 100 are co-prime or relatively prime.

For example, 29/58 CAN be simplified to 1/2 even though 29 is a prime.

On the other hand, 8/9 CANNOT be simplified even though neither 8 nor 9 is a prime.