Question

Transforme as dizimas periódicas em fração geratris
A)0,151515...=
B)0,287287287...=
C)0,66666...=
D)0,2414141...=
E)0,32636363...=
F)0,18522222...=
G)1,1111...=
H)0,01111...=
I)2,122222...=
J)5,5466666...=

Answer 1

Resposta:

Explicação passo-a-passo:

A)  0,151515... = 15\99 = 5\33

B)  0,287287287... = 287\999

C)  0,666... = 6\9 = 2\3

D)  0,2414141... = 241-2\990 = 239\990

E)  0,32636363... = 3263-32\9900 = 3231\9900 =

1077\3300 = 359\1100

F)  0,185222... = 1852-185\9000 = 1667\9000

G)  1,111... = 1 + 1\9 = 1.9+1\9 = 10\9

H)  0,0111... = 01-0\90 = 1\90

I)  2,1222... = 2 + 12-1\90 = 2 + 11\90 =

2.90+11\90 = 191\90

J)  5,54666... = 5 + 546-54\900 = 5 + 492\900 =

5.900+492\900 = 4992\900 = 1664\300 =

832\150 = 416\75