Question

The decimal expansion of the number $\frac{14753}{1250}$ will terminate after

(a) one decimal place
(b) two decimal place
(c) three decimal place
(d) four decimal place

Answer 1

(d) four decimal places

$\frac{14753}{1250}=\frac{14753}{5^4\times 2}=\frac{14753\times 2^3}{5^4\times 2^4}=\frac{118024}{10000}$ = $11.8024$

So, the decimal expansion of the number will terminate after four decimal places.