Final answer:
The fractional equivalent of the repeating decimal 0.05 is A) 5/100, which represents the correct conversion of a percentage to a fraction, and aligns with the relative frequency concept.
Step-by-step explanation:
The student has asked for the fractional equivalent of the repeating decimal 0.05. To find the fractional equivalent, you can compare the decimal to common fractional values and their decimal forms. According to the relative frequency, 5/100 equates to 0.05 (since dividing 5 by 100 yields 0.05). This means that the correct answer is A) 5/100. This is a simple fraction and does not represent a repeating decimal as the other options might suggest. In the context of percentages, 5% also means 5 out of 100, hence the fraction 5/100. It is also worth noting that 5/99 is a fraction that would result in a repeating decimal, typically indicated by a bar over the repeating digit(s), which is not the case here.