today we are coming up with 5 fractions that has 3 different prime numbers. will 56/84, 93/99, 45/65, 73/64, or 84/92 work. which one?
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To determine if a fraction has three different prime numbers, we need to analyze each fraction given and identify the prime numbers involved.
Let's take a look at the fractions you provided:
1. 56/84: To simplify this fraction, we can find the greatest common divisor (GCD) between the numerator and denominator, which is 28. By dividing both the numerator and denominator by 28, the fraction becomes 2/3. However, neither 2 nor 3 are different prime numbers. So, this fraction does not work.
2. 93/99: We can simplify this fraction by finding the GCD, which is 3. Dividing both numerator and denominator by 3, we get 31/33. Both 31 and 33 are not prime numbers, so this fraction does not work.
3. 45/65: By finding the GCD, we get 5. Dividing both numerator and denominator by 5 yields 9/13. In this case, 9 is not a prime number, so this fraction does not meet the criteria.
4. 73/64: This fraction is already in its simplest form. However, 73 is a prime number, whereas 64 is not. Therefore, this fraction does not have three different prime numbers.
5. 84/92: We can simplify this fraction by finding the GCD, which is 4. Dividing both numerator and denominator by 4, we end up with 21/23. Both 21 and 23 are prime numbers, so this fraction satisfies the condition.
Therefore, the only fraction among the ones you provided that meets the requirement of having three different prime numbers is 21/23.
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