Question

The number $\frac{665}{625}$ will terminate after how many decimal places?

Answer 1

$\frac{665}{625}=\frac{5\times 19\times 7}{5^4}=\frac{19\times 7}{5^3}=\frac{19\times 7\times 2^3}{5^3\times 2^3}=\frac{1064}{1000}=1.064$
So, $\frac{665}{625}$ will terminate after 3 decimal places.