Question

DETERMINE A FRAÇÃO GERATRIZ DE CADA DÍZIMA PERIÓDICA ABAIXO:
A)1,333...
B)46,4545...
C)1245,78444...
D)5,1222...
E)13,4555...
F)7,1333...​

Answer 1

Resposta:

A)1,333... =(13-1)/9 =12/9=4/3

B)46,4545...=(4645-46)/99=4599/99 =511/11

C)1245,78444... =(1245784-124578)/900 =1121206/900

D)5,1222...=(512-51)/90=461/90

E)13,4555...=(1345-134)/90=1211/90

F)7,1333...​=(713-71)/90=642/90