Question

Encontre as fraçoes geratrizes nos seguintes casos:

a) 0,252525...

b)1,2133333...

c)1,25656

Answer 1

a)1. 0,252525...= 25/99
2)10 x 0,2525... = 2,52525.. = 
3)100 x 0,2525.. = 25,2525...
3 - 1 = 100 ⇒ 25,2525..
             1 ⇒  0,2525...
---------------------------------
             99 ⇒ 25

b)1,2133333... = 1092/900
10 x 1,2133..= 12,133..
100 x 1,2133 = 121,333...
1000 x 1213,333... = 1213,333...

1000⇒ 1213,33..
  100 ⇒121,333
--------------------------
900 ⇒ 1092

c)1,25656...=  1131/900

10x1,2566..= 12,5666...
100x1,2566... = 125,666...
1000 x 1,2566...= 1256,666...

1000 ⇒ 1256,666...
  100 ⇒ 125,666...
---------------------------
 900 ⇒1131

Espero ter ajudado, bons estudos. Abraços