Question

calcule : 0,1333...: 0,2/1/1,2

Answer 1

0,133.... = 0,1 + 0,033...

0,1 = 1/10

0,033... = x
3,333... = 100x

100x - x = 3,3
99x = 3,3
x = (33/10)/99
x = 33/990
x = 1/30

1/10 + 1/30 = (3 + 1)/30 = 4/30... = 2/15

(2/15)/2/10 / 1/12/10
2.10 / 15/2 / 1 . 10/12
20/30 / 10/12

2/3 / 5/6
2 . 6 / 3 . 5

12/15 =>>> 4/5

Resposta: 4/5