Question

exprexx 0.9999.... as fraction simplest form​

Answer 1

Let

x=0.999999..............................(1)

Multiply (1) by 10 So,

10x=9.9999999......................(2)

(2)-(1)

So,

9x=9

x=1÷1

So we can write it as 1÷1

We can write it as 1÷1 because it is approximately equal to 0. 99999999..........

Answer 2

Let 0.999... be "x"

=>x= 0.999... ------------------(a)

Now, multiplying (a) by 10 we get,

10x= 9.999... ------------------(b)



Now, subtracting (a) from (b) we get,

10x-x= 9.999...-0.999...

=> 9x= 9

=> x= 9/9

=> x= 1

HENCE, 0.9999... IS EQUAL TO "1" OR IN SIMPLEST FORM (AS FRACTION) CAN BE WRITTEN AS 1/1.