Q11 of 51 Page 32

When the repeating decimal 0.363636 .... is written in simplest fractional form, find the sum p + q.

x = 0.363636…(i)

Periodicity = 2


So,


100x = 36.363636….(ii)


From (i) and (ii)


100x = 36.363636….


X = 0.3636363…


_____________________


99x = 36


X =


Then p = 4 and q = 11


p + q = 4 + 11 = 15


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