My numerator is a prime number.
The GCF of my numerator and denominator
is 2.
I am equivalent to 1/5.
1/5 = 2/10
thanks steve
To solve this problem, let's carefully analyze the given information:
1. "My numerator is a prime number."
This means that the numerator, the top number of the fraction, is a prime number. Prime numbers are numbers that are only divisible by 1 and themselves, with no other factors.
2. "The GCF of my numerator and denominator is 2."
The GCF (Greatest Common Factor) of two numbers is the largest number that divides both numbers evenly. In this case, the GCF of the numerator and denominator is 2, indicating that both numbers are divisible by 2.
3. "I am equivalent to 1/5."
These three pieces of information describe a fraction that is equivalent to 1/5. In other words, the given fraction can be simplified to 1/5.
Now, let's find the solution step by step:
To begin, we know that the numerator is a prime number. Prime numbers are integers greater than 1 that have no factors other than 1 and themselves.
Next, since the GCF of the numerator and denominator is 2, both numbers must be divisible by 2. Therefore, the numerator must be an even prime number (since any even number is divisible by 2). The only even prime number is 2.
Now that we know the numerator is 2, we can use this information to find the denominator. Since the fraction is equivalent to 1/5, we need to find a number that, when divided by 2, equals 1/5.
If we multiply both sides of 1/5 by 2, we get 2/10. So, the denominator is 10.
Therefore, the fraction that satisfies all the given conditions is 2/10.
In summary, the numerator is 2, the denominator is 10, and the fraction is equivalent to 1/5.