Resposta:
Explicação passo-a-passo:
Solução:
A) 12,666... = 12 + 6/9 = 12.9+6/9 = 114/9
I) 1,222... = 1 + 2/9 = 1.9+2/9 = 11/9
B) 4,123123... = 4 + 123/999 = 4.999+123/999 = 4119/999
J) 7,646464... = 7 + 64/99 = 7.99+64/99 = 757/99
C) 10,010101... = 10 + 01/99 = 10.99+1/99 = 991/99
K) 0,5333... = 53-5/90 = 48/90
D) 1,232323... = 1 + 23/99 = 1.99+23/99 = 122/99
L) 2,145145... = 2 + 145/999 = 2.999+145/999 = 2143/999
E) 0,101010... = 10/99
M) 3,12777... = 3 + 127-12/900 = 3 + 115/900 =
3.900+115/900 = 2815/900
F) 0,125125... = 125/999
N) 21,4999... = 21 + 49-4/90 = 21 + 45/90 =
21.90+45/90 = 1935/90
G) 0,0666... = 06-0/90 = 6/90
O) 125,9111... = 125 + 91-9/90 = 125 + 82/90 =
125.90+82/90 = 11332/90
H) 0,45222... = 452-45/900 = 407/900
