Question

dê a fração geratriz das dizimas abaixo: b)2,5959...,c)0,24848...d)2,99

Answer 1

A)

2,5959...

2,5959... = x (10)
25,959... = 10x (10)
259,59... =100x (10)
2595,95... = 1000x
-25, 95... = - 10x
--------------------------
2570,00... =990x
x=2750/990
x=1285/495
x=257/99

Resposta: x=257/99

B)

0,24848...

0,24848... = x (10)
2,4848... = 10x (10)
24,848... =100x (10)
248,48... = 1000x
-2,48... = - 10x
--------------------------
246,00... = 990x
x=246/990
x=82/330
x=41/165

Resposta: x=41/165

C)

2,99...

2,99...= x (10)
29,99... = 10x
-2,99... = - x
--------------------
27,00... = 9x
x=27/9
x= 9/3
x=3/1
x= 3

Resposta: x= 3