### Instruction: Calculate $(.\overline{6})(3)$.### Response: This problem involves repeating decimals and multiplication.
One way to approach this is to convert the repeating decimal to a fraction and then multiply by 3.
To do that, I need to use a trick to get rid of the repeating part.
Let me call the repeating decimal x, so x = 0.666...
If I multiply both sides by 10, I get 10x = 6.666...
Now, if I subtract x from 10x, I get 9x = 6, since the decimal parts cancel out.
This means that x = 6/9, or simplified, x = 2/3.
Now that I have a fraction for x, I can multiply it by 3 to get the answer.
3 times 2/3 is just 2, so the answer is 2.