#1**+5 **

This is not a formal proof, it is more of a demonstrations

You can show by division that $${\frac{{\mathtt{1}}}{{\mathtt{3}}}}$$ = 0.3 repeater.

If you multiply both sides by 3 you get $${\frac{{\mathtt{3}}}{{\mathtt{3}}}}$$ = 0.9 repeater

but $${\frac{{\mathtt{3}}}{{\mathtt{3}}}}$$ = 1 so

1 = 0.9 repeater

Melody Jan 7, 2015