Question

como transformar em fração irredutivel cada dizima periodica simples a) 0,444... b) 0,666.... c) 0,212121... d) 0,353535... e) 0,171717... f) 0,383838... g) 0,287287287... h) 1,6666... i) 3,55555... j) 1,2222... k) 3,151515... me ajudem please, {é atividade avaliativa}

Answer 1

A) x = 0,444 (.10)
10x = 4,444
9x = 4
x = 4/9

B) x = 0,666 (.10)
10x = 6,666
9x = 6
x = 6/9

C) x = 0,212121 (.10)
10x = 2,1212121 (.100)
100x = 21,212121
90x = 19
x = 19/90

D) x = 0,3535 (.10)
10x = 3,53535 (.100)
100x = 35,3535
90x = 32
x = 32/90

E) x = 0,171717 (.10)
10x = 1,71717 (.100)
100x = 17,1717
90x = 16
x = 16/90

F) x = 0,3838 (.10)
10x = 3,83838 (.100)
100x = 38,3838
90x = 35
x = 35/90

G) x = 0,287287 (.10)
10x = 2,87287287 (.100)
100x = 28,7287287 (.1000)
1000x = 287,287287
900x = 259
x = 259/900

H) x = 1,666 (.10)
10x = 16,666
9x = 15
x = 15/9

I) x = 3,555 (.10)
10x = 35,555
9x = 32
x = 32/9

J) x = 1,222 (.10)
10x = 12,222
9x = 11
x = 11/9

K) x = 3,1515 (.10)
10x = 31,51515 (.100)
100x = 315,1515
90x = 284
x = 284/90


Espero ter ajudado, e desculpa se tiver algum erro. :)