When the repeating decimal 10.363636.... is written in simplest fractional form
p/q, find
the value of p+q.
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26
Answer:
let x= 10.363636.....----(i)
multiply it by 100
we get
100x=1036.3636.....----(ii)
subtract (I) from(ii), we get
99x=1026
x=1026/99
x=114/11
p/q=114/11
so, p+q=114+11=125
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