I am a fraction his numerator and denominator are both prime numbers less than 20. If you were to increase each term by 1 I would be equivalent
to 1/2 what fraction Am I
To solve this problem, we need to find a fraction whose numerator and denominator are both prime numbers less than 20 and, when we increase each term by 1, is equivalent to 1/2.
Let's list out the prime numbers less than 20: 2, 3, 5, 7, 11, 13, 17, and 19.
Next, we can try increasing each term by 1 and check if it is equivalent to 1/2. Starting with the smallest prime number, 2:
- 2/3: If we increase each term by 1, we get 3/4, not equivalent to 1/2.
- 3/2: If we increase each term by 1, we get 4/3, not equivalent to 1/2.
- 5/2: If we increase each term by 1, we get 6/3, which simplifies to 2/1, not equivalent to 1/2.
- 7/2: If we increase each term by 1, we get 8/3, not equivalent to 1/2.
- 11/2: If we increase each term by 1, we get 12/3, which simplifies to 4/1, not equivalent to 1/2.
- 13/2: If we increase each term by 1, we get 14/3, not equivalent to 1/2.
- 17/2: If we increase each term by 1, we get 18/3, which simplifies to 6/1, not equivalent to 1/2.
- 19/2: If we increase each term by 1, we get 20/3, not equivalent to 1/2.
After checking all the possible fractions, we find that there is no fraction whose numerator and denominator are both prime numbers less than 20 and, when each term is increased by 1, is equivalent to 1/2.