Question

3.727272 in p/q where p and q are integer and q is not equal to 0

Answer 1

Answer:

let x = 3.7272....             (i)

periodicity = 2

multiply 100 on both side of equation (i)

100  x  =  100 x 3.7272....

100x = 372.72....             (ii)

subtract eqn (i) from eqn (ii)

    100x = 372.72....

-         x = 3.7272....

=> 99x = 368.9928....

x = 368.9928..../99

x = 3689928/990000