Question

express 0.8888... in the form p/q

Answer 1

We have to write 0.8888.... in the p/q form.
Let x = 0.8888...
10x = 0.8888...×10 = 8.8888...

10x - x = 8.8888... - 0.8888...
⇒ 9x = 8
⇒ x = 8/9

So 0.8888... = 8/9

Answer 2

Let x = 0.88888...
⇒10x=0.8888...*10=8.8888...
⇒9x=10x-x
=8.8888...-0.8888
=8
⇒9x=8
⇒x=$\frac{8}{9}$
Ans:0.8888... in the form of p/q is $\frac{8}{9}$.