Question

efetue e expresse o resultado na forma de fração decimal o,111...+4/3

Answer 1

0,111... + 4/3 = 1/9 + 4/3 = (1 + 4 *3) /9 = 13/9 = 3,25

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07/04/2016
Sepauto - SSRC
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Answer 2

$0,111... + \dfrac{4}{3} \to~~~~~Transforme~~~0,111... em ~~~fra\c c\~ao:\\\\\\ \dfrac{1}{9} + \dfrac{4}{3} \to~~~ ~~Fa\c ca~~~mmc~~~dos~~~~denominadores:\\\\\\ 9, 3~|~3\\3,1~\underline{|~3~~~} \\1,1~|~3.3 = 9\\\\ mmc(9,3)=9\\\\ \dfrac{(9:9*1)+(9:3*4)}{9} \to~~~ \dfrac{1+12}{9} \to~~~ \large\boxed{~ \dfrac{13}{9} ~}$