Question

Achar a fração geratriz de cada dizima periódica
A) 0,555
B)0,666
C)2,333
D)3,222
E)0,383838
F)1,232323
G)1,73222
H)1,1777

Answer 1

A) 5/9
B) 6/9
C) 21/9
D) 29/9
E) 38/99
F) 122/99
G) 1559/900
H) 106/90

Answer 2

a) 10x=5,55555
-x=0,55555
------------------------
9x=5
x=5/9

b)10x=6,666
-x=0,66666
--------------------
9x=6
x=6/9(simplificando)=2/3

c)10x=23,3333
-x=2,33333
-----------------------
9x=21
x=21/9(simplificando)=7/3

d)10x=32,222222
-x=3,22222
--------------------------
9x=29
x=29/9

e)100x=38,383838
-x=0,383838
----------------------------
99x=38
x=38/99

f) 100x=123,232323
-x=1,232323
------------------------------
99x=122
x=122/99

g)1000x=1732,22222
-100x=173,222222
-----------------------------------'
990x=1559
x=1559/990

h)100x=117,77777
-10x=11,777777
--------------------------
90x=106
x=106/90(simplificando)=53/45

espero ter ajudado