Matemática, perguntado por joao671280, 3 meses atrás

qual a fração geratriz de 1,1414141414...

2,1414141414...

0,43333....

0,53222....

2,87111.....

0,61888....

2,61111....

2,83737...

4,842222.....

2,94333....

5,531111....

0,83535....

1,43333.....​

Soluções para a tarefa

Respondido por coconuttcm
0

A) 1,14141414141414....

x= 1,14141414...

100x=114,141414...

  • 100x= 114,1414141414...
  • -x= 1,14141414...
  • 99x= 113
  • x= 113/99

B) 2,1414141414...

x= 2,1414141414...

100x= 214,14141414...

  • 100x= 214,14141414...
  • -x= 2,141414141414...
  • 99x= 212
  • x= 212/99

C)

x= 0,433333...

10x= 4,33333...

100x= 43,3333...

  • 100x= 43,3333...
  • -10x= 4,33333...
  • 90x= 39
  • x= 39/90

D)

x= 0,532222...

100x= 53,2222...

1000x= 532,2222...

  • 1000x= 532,2222...
  • -100x= 53,22222....
  • 900x= 479
  • x= 479/900

E)

x= 2,87111111...

100x= 287,111111...

1000x= 2871,11111...

  • 1000x= 2871,11111....
  • -100x= 287,111111...
  • 900x= 2584
  • x= 2584/900

F)

x= 0,618888...

100x= 61,8888...

1000x= 618,8888...

  • 1000x= 618,8888...
  • -100x= 61,8888...
  • 900x= 557
  • x= 557/900

G)

x= 2,61111....

10x= 26,1111...

100x= 261,11111...

  • 100x= 261,1111...
  • -10x= 26,1111...
  • 90x= 235
  • x= 235/90

H)

x= 2,8373737...

10x= 28,373737...

1000x= 2837,373737...

  • 1000x= 2837,3737373...
  • -10x= 28,373737...
  • 990x= 2809
  • x= 2809/990

I)

x= 4,842222...

100x= 484,2222...

1000x= 4842,22222...

  • 1000x= 4842,22222...
  • -100x= 484,22222....
  • 900x= 4358
  • x= 4358/900

J)

x= 2,9433333...

100x=294,3333...

1000x= 2943,3333...

  • 1000x= 2943,3333...
  • -100x= 294,33333...
  • 900x= 2649
  • x= 2649/900

K)

x= 5,531111...

100x= 553,111111...

1000x= 5531,1111...

  • 1000x= 5531,11111...
  • -100x= 553,111111...
  • 900x= 4978
  • x= 4978/900

L)

x= 0,8353535...

10x= 8,35353535...

1000x= 835,353535...

  • 1000x= 835,35353535...
  • -10x= 8,353535...
  • 990x= 827
  • x= 827/990

M)

x= 1,43333...

10x= 14,3333...

100x= 143,333...

  • 100x= 143,333...
  • -10x= 14,33333...
  • 90x= 129/90
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