# Como você converta 0.53 (repetição de 53) em uma fração?

53/99

#### Explicação:

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