Given that [24/7] is related to [12/7] and [11/15] is related to [11/30] following a certain logic, to which of the following is [9/13] related, following the same logic?

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Let's analyze the given pairs:

1. [24/7] → [12/7]:
   - Numerator: 24 becomes 12 (halved)
   - Denominator: 7 remains 7 (unchanged)

2. [11/15] → [11/30]:
   - Numerator: 11 remains 11 (unchanged)
   - Denominator: 15 becomes 30 (doubled)

Let's try to find the logic:
- In the first pair, the numerator is halved, denominator unchanged.
- In the second pair, the denominator is doubled, numerator unchanged.

But let's check if there's a deeper pattern:
- In [24/7] → [12/7], 24/2 = 12, denominator unchanged.
- In [11/15] → [11/30], 15×2 = 30, numerator unchanged.

So, the logic seems to be: For [a/b], the related fraction is either [a/2b] or [a/2], depending on which operation is possible (halving numerator or doubling denominator), but the operation is applied to the denominator if the numerator is odd (since halving an odd number doesn't yield an integer), and to the numerator if the denominator is odd.

But let's check the options for [9/13]:
- [15/26]: Numerator increased, denominator doubled.
- [9/39]: Denominator tripled.
- [9/26]: Denominator doubled.
- [10/27]: Both numerator and denominator increased by 1 and 14 respectively.

Since 9 is odd, halving 9 doesn't yield an integer, but doubling the denominator (13×2=26) gives [9/26].

Therefore, following the same logic as in [11/15] → [11/30], the answer is [9/26].

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