The number "2.33 repeating," often written as 2.\overline33, represents a decimal where the digits "33" continue infinitely. This means that after the decimal point, the number is 2.333333..., with the "3" repeating endlessly. It is a rational number, which can be expressed as a fraction. To convert 2.\overline33 into a fraction, you can set it equal to x. By multiplying both sides by 100, you can isolate the repeating part, leading to the equation 100x = 233.333.... Subtracting the original x from this equation allows you to solve for x as \frac73.