Question

Express 0.99999..... in the form (p/q).

Answer 1

Let 0.99999 be x

so,

10x = 9.999

9x = 9

x = 1

so,

0.99999 = 1

Answer 2

Let x = 0.99999 ...... (i)

Clearly, 9 is the only digit which is repeating in equation (i)

So, multiply equation (i) by 10 on both sides, we have

10x= 9.99999....... (ii)

Now subtract equation (i) from equation (ii) we get

10x-x=(9.99999....)-(0.99999 ......)

9x=9

x=1