# What is wrong with this proof?

Consider this "proof" that $$0.99 = 1$$:

1. We know that $$\frac{1}{3} = 0.33$$.
2. Multiplying both sides by 3, we have $$\frac{3}{3} = 3(0.33) = 0.99$$.
3. Since $$\frac{3}{3} =1,$$ we have that $$1 = 0.99.$$

What is wrong with the proof?

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