Final answer:
To find the next fraction in a given sequence, we look for patterns in the differences between the numerators and the denominators. Applying the identified pattern gives us the next terms in the sequence.
Step-by-step explanation:
The student's question asks which fraction comes next in a sequence. This type of question involves pattern recognition and sometimes a bit of algebra to uncover how the sequence progresses. By observing the sequences provided (A) 1⁄3, 6⁄10, (B) 15⁄21, 28⁄36, and (C) 45⁄55, 66⁄78, we notice that the numerators increase by an arithmetic sequence and the denominators do as well. Let's consider an example:
For sequence B, the numerator increases by 13 (from 15 to 28), and the denominator increases by 15 (from 21 to 36). Applying the same difference to the next terms, we would add 13 to 28 to get 41, and add 15 to 36 to get 51. So, the next fraction in the sequence would be 41⁄51.