Question

Express 0.55....-0.6767... in the form of p/q.​

Answer 1

Answer:

X = -6/5

Step-by-step explanation:

First substract both the numbers.

Let 0.55 = 0.5555

=> 0.5555 …  - 0.6767 ...

=> 0.1212 ...

Let X = 0.1212 ...                                     (1)

Now , multiply both sides with 10

=> 10X = 1.212 ...                                    (2)

Now substract (1) from (2)

=> 10X - X = 0.1212 ...  -  1.212 ...

=> 9X =  -1.09

Divide both sides by 9

=>9X/9 =  -1.09/9

=> X = -6/5