Question

Determine a fração geratriz:

A) 0,8888... (essa eu sei rsrs)
B)1,232323...
C)2,141414...
D)4,535353...
E)0,841111...

Answer 1

A)
0,888...=8/9

B)
1,2323...
1+0,2323...
1+23/99
99/99+23/99
(99+23)/99
122/99

C)
2,1414...
2+0,1414...
2+14/99
198/99+14/99
(198+14)/99
212/99

D)
4,5353...
4+0,5353...
4+53/99
396/99+53/99
(396+53)/99
449/99

E)
0,84111...
1,1111...-0,27
1+0,111...-0,27
1+1/9-27/100
900/900+100/900-243/900
(900+100-243)/900
757/900