Question

Ache a fração que gera a dizima periodica

a) 2,999...
b) 3,464646...
c) 0,178178178...
d) 15,13333....

Answer 1

a) 2,999...

2 + 9⁄9 = 18⁄9 + 9⁄9 = 27⁄9 = 3

Obs: nesse caso, só dá 3 mesmo.

b) 3,464646...

3 + 46⁄99 = 297⁄99 + 46⁄99 = 343⁄99

c) 0,178178178...

0 + 178⁄999 = 0⁄999 + 178⁄999 = 178⁄999

d) 15,13333...

15 + 13-1/90 = 15 + 12⁄90 = 1350⁄90 + 12⁄90 = 1362⁄90 = 681⁄45 = 227⁄15