Question

Transformati fdactile periodice simple în fracti ordinare: a) 0,(4) b) 0,(54) c)0,(940) d)0,3(4) e)0,45(5) f)0,253(9) vă roggg dau coroană ​

Answer 1

$0.(4) = \frac{4}{9}$

$0.(54) = \frac{54}{99} = \frac{18}{33} = \frac{6}{11}$

$0.(940) = \frac{940}{999}$

$0.3(4) = \frac{34 - 3}{90} = \frac{31}{90}$

$0.45(5) = \frac{455 - 45}{900} = \frac{410}{900} = \frac{41}{90}$

$0.253(9) = \frac{2539 - 253}{9000} = \frac{2286}{9000} = \frac{762}{3000} = \frac{254}{1000} = \frac{127}{500}$