Question

encontre a fracão geratriz  das dizimas periódicas dadas.a) 0,111... b)0,333... c)0,7777.. d)0,1444... e)0,5333... /????????

Answer 1

a) 0,111...

x= 0,111... × 10

10x= 1,111...
- x= 0,111...
------------------
9x= 1

x= 1/9
》》》》》》》》》》》

b)0,333...

x= 0,333... × 10

10x= 3,333...
- x= 0,333...
--------------------
9x= 3

x= 3/9
》》》》》》》》》》》

c)0,7777..

x= 0,777... ×10

10x= 7,777...
- x= 0,777...
-------------------
9x= 7

x= 7/9
》》》》》》》》》》》

d)0,1444...

x= 0,1444... × 100

100x= 14,444...
- x = 0,144...
--------------------------
99x= 14,3

x= 14,3/99

x= 143/990
》》》》》》》》》》》

e)0,5333...

x= 0,5333... × 100

100x=53,3333...
- x = 0,5333...
--------------------------
99x= 52,8

x= 52,8/99

x= 528/990