Question

find the rational no. in the form of p/q corresponding to the decimal representation 0.2222..., where p and q are integers and q is not equal to 0​

Answer 1

Let x=0.2222222......bar (1)

Multiplying both sides by 10

10x=2.2222222........bar (2)

Subtract (1) from (2)

9x=2

x=2/9

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Answer 2

Answer:

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Step-by-step explanation:

x=0.22222..... equation no 1

multiply by 10 both sides

10×x=10×0.2222.....

10x=2.22222...... equation no 2

subtract equation 1 from 2

10x-x=2.2222....-0.22222....

9x=2

x=2/9