Question

What is rational form of 18.97171 (71 in bar) ? How?

Answer 1

1897171/100000  ...................................

Answer 2

Answer:

The rational form is $18.97171\bar{71}=\frac{9391}{495}$

Step-by-step explanation:

Given : Expression $18.97171\bar{71}$

To find : What is rational form of expression ?

Solution :

Let $x=18.97171....$ ....(1)

Multiply both side by 100,

$100x=1897.17171...$ .....(2)

Subtract (1) and (2),

$100x-x=(1897.17171...)-(18.97171....)$

$99x=1878.2$

$x=\frac{1878.2}{99}$

$x=\frac{18782}{990}$

$x=\frac{9391}{495}$

Therefore, The rational form is $18.97171\bar{71}=\frac{9391}{495}$