Express the following in form, where p and q are integers and q≠ . (0.1282828) find the answer please and thank you

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].

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