Question

determine a fração geratriz das dizimas
a ) 5,232323...
b ) 2,171717...
c ) 1,263263...
d ) 4,297297...

Answer 1

A)   
      x=5,232323...
100x=523,232323...
100x-x=523,232323...-5,232323...
99x=518
x=$\frac{518}{99}$

B)
   x=2,171717...
100x=217,171717...
100x-x=217,171717...-2,171717...
99x=215
x=$\frac{215}{99}$

C)
x=1,263263...
1000x=1263,263263
1000x-x=1263,263263...-1,263263...
999x=1262
x=$\frac{1262}{999}$

D)
x=4,297297...
1000x=4297,297297...
1000x-x=4297,297297...-4,297297
999x=4293
x=$\frac{4293}{999}$