Ayeshe was given 3 clues concerning the value of a mystery fraction. The clues she was given are shown below.

1) I am a fraction between 1/5 and 1/4

2) My numerator is a prime number less than 10.

3) My denominator is 10 more then my numerator.

What is the mystery fraction? Justify your answer

To find the value of the mystery fraction, let's go through each clue step by step.

1) The first clue states that the fraction is between 1/5 and 1/4. This means the fraction is greater than 1/5 but less than 1/4.

2) The second clue gives us information about the numerator. It states that the numerator is a prime number less than 10. The prime numbers less than 10 are 2, 3, 5, and 7.

3) The third clue provides information about the denominator. It states that the denominator is 10 more than the numerator.

Let's match the information from the second and third clues:

- If the numerator is 2, then the denominator would be 10 more, which is 2 + 10 = 12.
- If the numerator is 3, then the denominator would be 10 more, which is 3 + 10 = 13.
- If the numerator is 5, then the denominator would be 10 more, which is 5 + 10 = 15.
- If the numerator is 7, then the denominator would be 10 more, which is 7 + 10 = 17.

Now, let's check which fraction satisfies both the first clue (being between 1/5 and 1/4) and the second and third clues:

- The fraction 2/12 is not between 1/5 and 1/4.
- The fraction 3/13 is not between 1/5 and 1/4.
- The fraction 5/15 is not between 1/5 and 1/4.
- The fraction 7/17 is between 1/5 and 1/4.

Therefore, the mystery fraction is 7/17, as it satisfies all the given clues.