Explicação passo-a-passo:
a) 0,4444... ×10 = 10x
4,44... = 10x
0,44.... = 1x
______________ -
4 = 9x
4/9=x
ou
x = 4/9
b) 0,1252525.....
125,2525....= 1000x
1,2525...= 10x
__________________-
124 = 990x
124/990 = x
x = 124/990
c) 0,545454....
54,545454 .....= 100x
0,545454...= 1x
_________________-
54 = 99x
54/99= x
x= 54/99
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Explicação passo-a-passo:
a) 0,4444... ×10 = 10x
4,44... = 10x
0,44.... = 1x
______________ -
4 = 9x
4/9=x
ou
x = 4/9
b) 0,1252525.....
125,2525....= 1000x
1,2525...= 10x
__________________-
124 = 990x
124/990 = x
ou
x = 124/990
c) 0,545454....
54,545454 .....= 100x
0,545454...= 1x
_________________-
54 = 99x
54/99= x
ou
x= 54/99