How do you express 0.0101010101 as a fraction?

To express 0.0101010101 as a fraction, we first need to identify the repeating pattern, which is 01. Let x = 0.0101010101. Multiplying x by 100 gives 1.0101010101, and subtracting x gives 99x = 1. Solving for x, we get x = 1/99. Therefore, 0.0101010101 as a fraction is 1/99.