Question

what is the next fraction in this sequence? simplify your answer.
\\(\frac{11}{13}\\), \\(\frac{9}{13}\\), \\(\frac{7}{13}\\), \\(\frac{5}{13}\\), ...

Explanation:

Step1: Analyze numerator pattern

The numerators are 11, 9, 7, 5. The difference between consecutive numerators: \(9 - 11 = -2\), \(7 - 9 = -2\), \(5 - 7 = -2\). So each numerator decreases by 2.

Step2: Find next numerator

Next numerator: \(5 - 2 = 3\). Denominator remains 13.

Step3: Form next fraction

The next fraction is \(\frac{3}{13}\).

Answer:

\(\frac{3}{13}\)