Question

express 32.1235 (bar on 35) in the form of p/q

Answer 1

x=32.1235
100x=3212.35
10000x=321235.35
9900x=318023
x=318023/9900

Answer 2

Answer:

The form of p/q of the number is $x=\frac{318023}{9900}$  

Step-by-step explanation:

Given : Number 32.1235 (bar on 35).

To find : Express in the form of p/q?

Solution :

Let the number be x.

$x=32.12\bar{35}$

$x=32.12353535...$  .......(1)

Multiply both side by 100,

$100x=3212.353535...$ .......(2)

Subtract equation (1) and (2),

$100x-x=3212.353535...-(32.12353535...)$

$99x=3180.23$

$x=\frac{3180.23}{99}$

$x=\frac{318023}{9900}$

So, The form of p/q of the number is $x=\frac{318023}{9900}$