Question

what is the next fraction in this sequence? simplify your answer. \\(\frac{38}{47}, \frac{37}{47}, \frac{36}{47}, \frac{35}{47}, ...\\)

Explanation:

Step1: Analyze numerator pattern

The numerators are 38, 37, 36, 35. Each term decreases by 1. So next numerator: \(35 - 1 = 34\).

Step2: Analyze denominator pattern

Denominator is 47 for all terms. So next denominator remains 47.

Step3: Form the next fraction

Combine numerator 34 and denominator 47: \(\frac{34}{47}\).

Answer:

\(\frac{34}{47}\)