Question

Express 0.237237237... in the form of p/q

Answer 1

when digits are repeating just after decimal, then  take that number repeating and divide by  999....  as many digits as there are in the repeating number....

so   237  is repeating (has 3 digits),   so   write  :  237 / 999

check it ...
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for number like   0.1233333    do  as:
            100 times  to get   12.33333....    which is =   12 + 3/9  = 37/3
             so ans = 37/300