Got stuck on this question:
Write 0.0123456789 as a fraction where that whole sequence from 0-9 recurs.
The problem I've got is that in order to get the fraction you need to align the recurring bit so you can subtract it.
The only way I can think of doing it is by ( after designating the number as x) move everything before the point but that would make: 10000000000x =123456789 then subtract x so we have: 999999999x =123456789 so we then have:
123456789/9999999999 but that seems nuts-there must be an easier way I can't think of!
Write 0.0123456789 as a fraction where that whole sequence from 0-9 recurs.
The problem I've got is that in order to get the fraction you need to align the recurring bit so you can subtract it.
The only way I can think of doing it is by ( after designating the number as x) move everything before the point but that would make: 10000000000x =123456789 then subtract x so we have: 999999999x =123456789 so we then have:
123456789/9999999999 but that seems nuts-there must be an easier way I can't think of!