Question

Determine a fração geratriz de cada numero decimal abaixo = a) 0,525252...= b)0,666...= c) 0,32444...=​

Answer 1

Resposta:

a) x = 0,525252

100x = 52,5252

100x = 52 + x

100x - x = 52

99x = 52

x = 52/99

B) x = 0,666

10x = 6,66

10x = 6 + x

10x - x = 6

9x = 6

x = 6/9

x = 2/3

C) x = 0,32444

100x = 32,444

100x = 32 + 4/9

100x = 292/9

900x = 292

x = 292/900

x = 73/225