Question

Concert 2.43232......into p/q form

Answer 1

${\bold{Question}}$

Covert .... in p/q form .

Answer:

1204/495

Step-by-step explanation:

Here is a trick how we do that :

Let's consider 2.432323 be x.

$\implies {So, \ 24.323232...= 10x} {\bold{-------(equation 1)}}$

$\implies {So, \ 2432.3232... = 1000x} {\bold{-------(equation 2)}}$

$\implies { EQUATION 2 - EQUATION 1}$

$\implies { 1000x-10x = 2432.3232-24.3232}$

$\implies { 990x = 2408 }$

$\implies { x = \cancel{ \dfrac{2408}{990} }}$

$\implies { x = { \dfrac{1204}{495} }}$