Question

determine a fraçao geratriz de cada dizima peroidica a) 0,4282828...
b)3,4076 c) 5,454545... d) 0,016

Answer 1

a) 0,4282828
x=0,4282828*(10)
10x=4,4282828*(100)
1000x=428,4282828
-  10x=    4,4282828
 990x=424
      x=424/990

b) 3,4076
x=3,4076*(100)
100x=340,4076*(100)
10000x=34076,4076
- 100x=     340,4076
  9900x= 33736
         x=33736/9900
c) 5,454545
x=5,454545*(100)
100x=545,454545
-    x=    5,454545
 99x=540
    x=540/99
d) 0,016
x=0,016*(10)
10x=0,016*(100)
1000X=016,016
-  10x=     0,016
990x= 016
      x=016/990