Question

express each of the following in the from of p/q 3570.417417

Answer 1

Let x = 3570.417..... ---eq.1

Now multiply both rhs and LHS by 1000 to shift the decimal just before reccuring digits

1000x = 3570417.417.... eq2

By Subracting eq 1 from eq 2 we get

999x = 3566847
=x = 3566847/999