Math Is Fun Forum

Animesh

Guest

Fraction

'n' is a positive  integer such that (n/810) =
0.d25d25d25 .......... where 'd' is a single digit . Find n

alter ego

Member

Registered: 2012-03-30

Posts: 28

Re: Fraction

Hi Animesh,

Write 1000n/810 = d25.d25d25d.......

Subtracting gives 999n/810 = d25

This will greatly simplify and you'll find only one value of d is possible.  The value of n follows easily from this

Alter