Question

The value of 1.999….in the form p/q , where p and q are integers and q ≠ 0, is​

Answer 1

Answer:

Let

x=

1.999...

Since, one digit is repeating, we multiply xby10, we get

10x= 19.99...

So,

10x=

18+

1.999...=

18+

x

Therefore,

10x−

x=

18

, i.e.,

9x=

18

i.e.,

x=

9

18

=

1

2

=

2

Step-by-step explanation:

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