Question

The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after _____ decimal place(s).

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is D 4

$\text{Rational number}=\frac{14587}{1250}=\frac{14587}{2^1\times 5^4}=\frac{14587}{10\times 5^3}\times \frac{\left(2^3\right)}{\left(2^3\right)}=\frac{14587\times 8}{10\times 1000}=\frac{116696}{10000}=11.6696$

Hence, given rational number will terminate after 4 decimal places.