Question

3.17bar into rational number

Answer 1

Let rational number be n.

$n= 3.1717...$

$100n = 317.1717...$

On subtracting n from 100n:

$100n - n = 317.1717... \: \: - \: 3.1717...$

$99n = 317 - 3$

$99n = 314$

$n= \frac{314}{99}$

Hence, required rational number

$= \frac{314}{99}$