Question

Obtenha a fração irredutível equivalente a :

a) 0,262626...
b) 2,176176176 ...
c) 0,8474747...
d) 0,12666...

Answer 1

a) x=0,262626...             100x-x= 26,2626... - 0,2626...
10x= 2,6262...                99x= 26
100x= 26,2626...            x= 26/99

b) x=2,176...                  1000x-x= 2176, 176...-2,176..
10x= 21, 76176...           999x= 2174
100x=217, 6176...         x= 2174/999
1000x= 2176, 176...

c) x=0,84747...            1000x-10x= 847, 4747...-8, 4747...
10x=8, 4747...             990x= 839
100x= 84,7474...         x= 839/990 
1000x= 847, 4747...

d)x=0,1266               1000x-100x= 126,666...- 12,666...
10x= 1,2666             900x= 114
100x=12,666            x = 114/900
1000x= 126,666