Question

Express 2.989898…. in the form of p/q, where p and q are integers and q≠0.

Answer 1

Answer:

 296/99

Step-by-step explanation:

answer would be 2.98989...

where p and q are integers

and q ≠ 0

Answer 2

Answer:

26.0909091 / 9 is your required answer

Step-by-step explanation:

let x be equal to 2.989898..

⇒ x = 2.989898.... ---------> equation 1

Multiplying equation 1 by 10

⇒ 10 × ( x ) = 10 ( 2.989898)

          10x = 29.898989 ---------> equation 2

Substracting equation 1 by equation 2

10x - x = 29.898989 - 2.989898

      9x = 26.0909091

        x = 26.0909091 / 9

∴ p = 26.0909091 and q = 9

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