Come si converte 0.53 (53 ripetizioni) in una frazione?
Risposta:
#53/99#
Spiegazione:
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 # rArr x = 53/99 #