Question

express 2.015 in the p /q, from where p&q are integers and q ≠0.give full solution

Answer 1

Let x = 2.0151515.......(i)


Multiply equation (i) by 1000 on both sides,

1000 x = 2015.1515.......(ii)


Multiply equation (i) by 10 on both sides,

10 x = 20.151515.......(iii)

Subtracting equation (iii) from (ii),

          1000 x = 2015.1515.......(iii)
        --   10 x = 20.151515.......(ii)
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             990 x = 1995

Thus, x = 1995 / 990