Question

Converting 0.53 a pure recurring decimal into rational form is​

Answer 1

Answer:

Step-by-step explanation:

Require to obtain 2 equations with the same repeating part and subtract them to eliminate the repeating part.

begin with letting x = 0.535353 ............ (A)

To obtain the same repeating part after the decimal point need to multiply by 100.

hence 100x = 53.535353 ...........................(B)

It is important to obtain 2 equations in x , where the recurring part after the decimal points are exactly the same.

(B) - (A) : 99x = 53  

⇒

x

=

53 /99

Answer 2

Answer:

0.53=0.53×100=53 is the pure decimal into rational form