Question

Escreva a fração geratriz correspondente aos seguintes números racionais: a) 36,8 b) 1,65 c) 0,9375 d) 0,843 e) 7 ,5 f) 12,32

Answer 1

Resposta:

a) 36,8.

368/10= 184/5

B)1,656565...

x= 1,656565...

100x= 165,656565...

100x= 165,656565...

- x= 1,65656565...

99x= 164

x= 164/99

C)0,9375.

x= 0,9375

10000x= 9375,9375

10000x= 9375,9375

- x= 0,9375

9999x= 9375

x= 9375/999

D)0,843.

x= 0,843

1000x= 843,843

1000x= 843,843

- x= 0,843

999x= 843

x= 843/999

E)7,5818181...

x= 7,5818181..

10x= 75,818181...

1000x= 7581,818181...

1000x= 7581,818181...

- 10x= 75,818181...

990x= 7506

x= 7506/990

F)12,32

1232/100= 39/25