Question

The value of 1.999... in the form

p

q , where p and q are integers and q ≠ 0 , is

(A)
19
/10 (B)
1999/
1000 (C) 2 (D)
1/
9​

Answer 1

Answer:

X = 1.999..... - (1)

10x =19.99.... - (2)

Subtract (2)from(1)

10x = 19.99....

- x = - 1.99...

9x = 18

X = 18/9

X = 2/1

$\large\bold{\boxed{\boxed{C)\:x\:=\:2}}}$