Question

when the repeating decimal 0.363636...is written in simplest form p/q find the sum p+q?

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Answer 1

Step-by-step explanation:

Let x=0.3636....

→100x=36.363636....

→ 99x=100x-x

=36.363636....-0.363636

=36

⇒x=36/99-4/11.

So 0.363636....written in the form p/q is

4/11.

Sum of p and q=4+11=15 Ans: 15