Question

Write the following in decimal form and say what kind of decimal expansions has:
$\frac{3}{13}$

Answer 1

The number is given as $\frac{3}{13}$.

After dividing, it becomes,

$\frac{3}{13}=0.230769230769230769\dots$

Since, the numbers after decimal is repeating and is going on at infinity times, so, it is a non terminating number.