Question

express 0.99999. ..... in the form of p /q

Answer 1

The answer is given below :

Let, x = 0.999999...

Then, 10x = 9.999999....

So, 10x - x = 9.99999... - 0.999999...

=> 9x = 9

=> x = 1

=> x = 1/1,

which is the required form p/q with q non-zero.

Thank you for your question.

Answer 2

$\huge\bold\star\red{Question}$

Express 0.99999..... in the form p by q.

$\huge\bold\star\red{Answer}$

here it is :-

0.99999 = 0.9

0.9 = 0.99999

let x = 0.99999 ( equation 1 )

10x = 9.99999 ( equation 2 )

⠀⠀⠀

subtract eq 1 from eq 2

10x = 9.99999 - x = 0.99999

=> 9x = 9.0

9x = 9

x= 9/9

x = 1

$\huge\bold\star\red{thanx}$

$\huge{ \red{ \boxed{ \green{hope\:it \: helps:)}}}}$