Final answer:
3.02 repeating is equal to 299/99, which can also be simplified to 3 2/33. Therefore, the correct answer is 'none of the above'.
Step-by-step explanation:
To write 3.02 repeating as a fraction, we need to use algebraic methods. Let's denote the repeating decimal as x:
x = 3.02020202...
Now, multiply x by 100 to shift the decimal two places to the right:
100x = 302.02020202...
Subtracting the original equation from this new equation gives us:
100x - x = 302.02020202... - 3.02020202...
Which simplifies to:
99x = 299
Now, divide both sides by 99 to solve for x:
x = 299 / 99
Therefore, 3.02 repeating is equal to 299/99, which simplifies to 3 2/33. This reveals that the answer is none of the above since none of the given choices match our fraction.