Question

what is the next fraction in this sequence? simplify your answer.\\(\frac{1}{8}, \frac{1}{4}, \frac{3}{8}, \frac{1}{2}, ...\\)

Explanation:

Step1: Convert to common denominator

Convert all fractions to eighths: $\frac{1}{8}$, $\frac{2}{8}$, $\frac{3}{8}$, $\frac{4}{8}$, ...

Step2: Identify the pattern

The numerators increase by 1 each time: 1, 2, 3, 4, so the next numerator is 5.

Step3: Form the next fraction

The next fraction is $\frac{5}{8}$.

Answer:

$\frac{5}{8}$