Question

obter as geratrizes das seguintes dizimas periódicas: 0,777... 3,888...

Answer 1

$<var>0,777... = \boxed{\frac{7}{9}}</var>$

 

$<var>3,888... = 3 + \frac{8}{9}</var>$

 

(MMC = 9)

 

$<var>\frac{27}{9} + \frac{8}{9} = \boxed{\frac{35}{9}}</var>$

 

Answer 2

0,777                          10X --------  07,777

                                       -X -------      0,777

                                      9X ------     7,000

 

X = 7/9

 

 

3,888                              10X -----------  38,888

                                          -X -----------      3,888

                                          9X -----------   35,000

 

X= 35/9