Question

After how many places of decimal, will the decimal expansion of $\frac{49}{40}$ terminate ?
(a) 1
(b) 2
(c) 3
(d) It will not terminate

Answer 1

(c) 3

We have:
$\frac{49}{40}\times \frac{25}{25}=\frac{1225}{1000}=\frac{1225}{{\left(10\right)}^3}$
So, it will terminate after 3 decimal places.