Question

express 0.888.... in the form of p/q where p and q are integers and q is not equal to zero

Answer 1

Answer:

final answer =

8/9

Step-by-step explanation:

0.888888.........

\textbf{To find:}To find:

\text{Express the given number in $\frac{p}{q}$ form}Express the given number in

q

p

form

\textbf{Solution:}Solution:

\text{Let}\;x=0.88888..............Letx=0.88888.............. ....(1)

\text{Multiply bothsides of (1) by 10, we get}Multiply bothsides of (1) by 10, we get

10\,x=8.88888..............10x=8.88888.............. ....(2)

\text{Subtract (1) from (2), we get}Subtract (1) from (2), we get

10\,x-x=810x−x=8

9\,x=89x=8

\implies\bf\,x=\dfrac{8}{9}⟹x=

9

8

Answer 2

x=0.88888......

x=0.88888......(1)

Multiply bothsides of (1) by 10, we get 10/x=8.88888....

Multiply both sides of (1) by 10, we get 10x=8.88888.......(2)

(1) from (2) we get 10/x-x=810

Subtract (1) from (2) we get x-x=8

9/x=8

9x=8

So, the answer will be 8/9....

I hope it will be helpful for u...