Question

Calculate the value of 2.99999...... in the form of PQ, where p and q are integers and q ≠ 0

Answer 1

Step-by-step explanation:

let x = 2.99999... -------- 1

multiply the above equation by 10

10x = 29 . 99999 ... -------2

now equation 2 - equation 1

=> 9x = 27.000

=> 9x = 27

=> x = 27 / 9

Answer 2

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Let x= 2.9999...-----(1)

multiply (1) with 10

10x = 29.9999.....(2)

subtract (1) from (2)

9x =27

x=3

x= 3/1 =p/q form