In simplest form, what type of decimal expansion will ( \frac{132}{484} ) have?

Correct answer: Non-terminating recurring

First reduce the fraction before deciding the type of decimal expansion. The numerator and denominator have a common factor 44: \\(\frac{132}{484}=\frac{3}{11}\\). The simplified denominator is 11, which is a prime factor other than 2 or 5. A rational number whose simplified denominator contains such a factor has a non-terminating recurring decimal expansion.

For confirmation, division gives \\(\frac{3}{11}=0.272727\ldots\\), where the block 27 repeats endlessly. Thus option C is correct. It is important not to judge the original denominator 484 without simplification, because common factors may disappear. Here, however, the remaining factor 11 clearly prevents termination and produces repetition.