Question

Determine a fração geratriz das dizimas periódicas a seguir:
a. $0,555...$

b. $2,444...$

c. $4,1212...$

d. $6,7222...$

Answer 1

Resposta:

Explicação passo a passo:

0,555...

x=0,555..

10x=5,555...

10x-x=5,555..-0,555..

9x=5

x=5/9

2,444..

y=2,44..

10y=24,444...

10y-y=24,444...-2,444.

9y=22

y=22/9

4,12121212...

z=4,12121212...

100z=412,12121212...

100z-z=412,12121212....-4,12121212...

99z=408

z=408/99

6,7222...

w=6,7222....

10w=67,2222...

100w=672,222...

100w-10w=672,222...-67,2222...

90w=605

w=605/90