Q. 113.9( 20 Votes )

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

Answer :

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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