Question

express 15.712121212 in the form of p/q ​

Answer 1

Answer:

15.7121212... is nothing but  15.712  ( i am giving the bar symbol on down of the no.s it is 12 bar)

let,  x = 15.712 = 15.7121212... -----------------1

then 1000x = 15712.12 = 15712.121212... ------------2

       10x = 157.12 = 157.1212.. ----------- 3

subtract equation 3 with 2

so,

       1000x = 15712.1212....

           10x = 00157.1212....

        -           -

      ------------------------------------

         990x = 15555.0000...

      ------------------------------------

             x = 15555/990

             x = 3111/198

therefore the fractional form (p/q) of 15.7121212... is 3111/198

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Step-by-step explanation: