Fractions

Firstly, whatever the result of dividing by , it cannot be ! The only way you can divide a number and end up where you started, is to divide by one. If, instead of dividing by 1, which would leave the number unchanged, we divide by something 9 times smaller than 1, namely , the result becomes 9 times bigger. (Dividing between fewer mouths yields larger portions.) Dividing by would make the 9 times bigger,

So, .

And generally,