come up with 1 fraction up to 99 that has 2 different prime numbers that can work. For example:
20/30
the prime numbers there are 2 and 5. 20 divided by 2. 30 divided by 2. then it would be 10/15. then you do 10 divided by 5. 15 divided by 5. then it would be 2/3.
To find a fraction that has two different prime numbers, we can follow a similar method to the example you provided. Here's how you can do it:
1. Start by choosing two different prime numbers less than 99. Let's select 3 and 11.
2. Multiply the two prime numbers together to get the denominator of the fraction. In this case, 3 x 11 = 33.
3. Now, choose a numerator that is less than the denominator but is not divisible by either of the prime numbers. Let's choose 7 in this example.
4. Therefore, the fraction with two different prime numbers is 7/33.
To confirm that 7/33 indeed has 3 and 11 as its prime factors, you can simplify the fraction:
7/33 can be reduced by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 7 and 33 is 1 (since 7 and 33 share no common factors other than 1), so the fraction is already in its simplest form.
Hence, 7/33 has 3 and 11 as its prime factors.