Answer: [tex]\dfrac{127}{990}[/tex].
Step-by-step explanation:
Let x=0.1282828...
Multiply 10 on both sides , we get
10 x = 1.282828... (i)
Now multiply 100 on both sides , we get
1000x=128.2828... (ii)
Eliminate (i) from (ii), we get
[tex]990x=127\\x=\dfrac{127}{990}[/tex]
Hence, the required [tex]\dfrac{p}{q}[/tex] form: [tex]\dfrac{127}{990}[/tex].
