Question

Express 0.365656565... in the form of p÷q,where p and q are integers but q not equal to p

Answer 1

0.3656565... = 0.365 bar [ bar on 65]

================

Let x = 0.365

10x = 3.65 bar


As there are 2 numbers under bar, multiply by 100

1000x = 365.65

Subtract 10x from both sides,

1000x = 365.65 bar
__-10x___3.65_bar
990x = 362 [ bar cancel]
______________

x = 362/990


Then,

0.3656565.... In p/q form is 362/990



I hope this will help you


(-:

Answer 2

Heya dear !!!


0.365( bar on 56)



Let X = 0.365


Then X = 0.3656565 --------(1)


Multiply equation (1) by 10 we get,



10X = 3.656565 -------(2)



Again, multiply equation (2) by 100 we get,



1000X = 365.656565 ------(3)



Subtract equation (2) from equation (3) we get,



1000X = 365.656565

10X = 3.656565

________________


990X = 362



X = 362/990


Hence,


0.365 ( bar on 65) is in the form of 362/990 which is in the form of P/Q.




:-)...... HOPE IT WILL HELP YOU.....(-: