Question

The decimal expansion of rational number 49/40 will terminate after how many places of decimal ? Do it briefly solving

Answer 1

$= > \frac{49}{40} \\ = > \frac{49000\times {10}^{ - 3} }{40} \\ = > 1225 \times {10}^{ - 3} \\ = > 1.225$
Hope it helps you. :)

Answer 2

Given fractional number is 49/40

multiply numerator and denominator with 25,

= $\frac{49}{40}\times\frac{25}{25}$

= $\frac{49\times25}{40\times25}$

=$\frac{1225}{1000}$

now , you can divide 1225 by 1000.

e.g., 1.225 , what we see number is terminated after three places of decimal.