If a and b are positive integers such that a > b and c > 0, which of the following is true?

$\frac{c}{a}<\frac{c}{b}$

The correct answer is Option (3) → $\frac{c}{a}<\frac{c}{b}$

$a>b,\;\; c>0$

$\frac{1}{a} < \frac{1}{b} \Rightarrow \text{(since reciprocals reverse inequality)}$

$\Rightarrow \frac{c}{a} < \frac{c}{b}$

The correct statement is $\frac{c}{a} < \frac{c}{b}$.