Question

when the repeating decimal 10.363636....is written in simplest fractional from p by q find the value of p+q​

Answer 1

Answer:

125

Step-by-step explanation:

let's take x = 10.363636....   (1)

and 100x = 1036.363636.... (2)

now subtract 100x and  x

100x  = 1036.36.36...

    x   =     10.36363....

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  99x =  1026

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⇒ 99x = 1026

x = 1026/99

  = 114/11         (after simplifying)

now p = 114 and q = 11

therefore p+q = 114 + 11

                       =  125 ...........