Question

Express 0.35Bar7 in the form of P by Q where p& q are intergers and q =0.

Answer 1

here is the ans to ur q

Answer 2

Hello !!!

Here is Your Answer.

Given :-

0.35353535.....

We have to express it in the form of p/q to prove that it is rational.

Now,
Let x = 0.353535..... (i)
Multiply both sides by 10,
10x = 3.53535....
100x = 35.353535. (ii)

Now, as we can see that digits after decimal are same and by subtracting we can easily cancel out them.

So, Subtract (i) from (ii),
100x = 35.353535.....
. x = 0.353535....
------------------------------
99x = 35
x = 35/99

Sorry I din't see the Question Properly..

Correct one is here ...
Given : 
0.357777....
Let x = 0.35777.....
10x = 3.57777...
100x = 35.777...   (i)
1000x = 357.777...  (ii)

Now, Subtract  (i) from (ii), 
1000x = 357.777...
100x = 35.777...
----------------------
990x = 322
x = 322/990
x = 162/495


Hope It Helps