Question

express 0.8888.... in the form of p/q

Answer 1

hey mate!

Answer:

the answer is 8/9

Step-by-step explanation:

let 0.8888........=x.......(1)

multiply with 10

10x=8.8888..............(2)

(2)-(1)

10x=8.8888......

(-)x=0.8888.........

------------------------

9x=8

-------------------------

x=8/9

hope the answer helps

Answer 2

Step-by-step explanation:

0.8888...

=> let 0.8888...be x

i-e x = 0.888... ( eq-1)

=>Periodicity - 10

=> multiply eq-1 with 10

=>10× x = 0.888.....×10

=> 10x = 8.888.......

; ↑ eq-2

Subtract eq-1 from eq-2

=> 10x=8.888....

- x =0.888...

______________________

9x = 8.0...

x = 8/9