Question

Determine as frações geratrizes das dizimas compostas:
A)7,1555...
B)0,5333...
C)69,0333...
D)1,17474...
E)1,5666...
F)0,18383

Answer 1

Resposta:

Explicação passo-a-passo:

A)  7,1555...

=> 7,1555... = 7  15-1\90 = 7  14\90 =

7.90+14\90 = 644\90 = 322\45

B)  0,5333...

=> 0,5333... = 53-5\90 =

48\90 = 24\45 = 8\15

C)  69,0333...

=> 69,0333... = 69  03-0\90 = 69  3\90 =

69.90+3\90 = 6213\90 = 2071\30

D)  1,17474...

=> 1,17474... = 1  174-1\990 =

1  173\990 = 1.990+173\990 = 1163\990

E)  1,5666...

=> 1,5666... = 1  56-5\90 = 1  51\90 =

1.90+51\90 = 141\90 = 47\30

F)  0,18383...

=> 0,18383... = 183-1\990 =

182\990 = 91\495