Question

what is the next fraction in this sequence? simplify your answer. $\frac{1}{16}$, $\frac{1}{12}$, $\frac{5}{48}$, $\frac{1}{8}$, ...

Explanation:

Step1: Convert to common denominator

Rewrite all fractions with denominator 48:
$\frac{1}{16} = \frac{3}{48}$, $\frac{1}{12} = \frac{4}{48}$, $\frac{5}{48} = \frac{5}{48}$, $\frac{1}{8} = \frac{6}{48}$

Step2: Identify numerator pattern

Numerators follow: 3, 4, 5, 6 (increasing by 1 each term)
Next numerator = $6 + 1 = 7$

Step3: Form and simplify fraction

New fraction is $\frac{7}{48}$, which is already in simplest form.

Answer:

$\frac{7}{48}$