Question

when the repeating decimal 0.36 3636 is written in simply fractional form p/q find the sum p+q

Answer 1

given that 
x = 0.3636363 ---------------------(1)
period is 36
periodicity is 2
so
100x = 36.363636 ----------------------(2)
from (1) and (2)
100x = 36.363636
       x =   0.363636 (-)
_________________
99x = 36
x = 36/99
x= 4/11

p/q = 4/11
from that we know that
p = 4  ; q = 11
p+q = 4+11
p+q = 15.

Answer 2

Answer:

15

Step-by-step explanation:

Given,

x=0.363636..........-(1)

100x=36.363636...........-(2)

From (1) and (2)

100x=36.363636

x=0.363636

_________________

99x=36

x=36/99

x=4/11

Therefore,

p=4, q=11

p+q=4+11

p+q=15