What is obtained when (0.003125) is converted into a simplified fraction?

Correct answer: ( \frac{1}{320} )

The direct answer is B: \(1/320\). The number 0.003125 has six digits after the decimal point, so first write it as \(3125/1,000,000\). Now simplify. Dividing numerator and denominator by 3125 gives \(1/320\); equivalently, \(0.003125=125/40000=25/8000=5/1600=1/320\). Option A, \(1/32\), is ten times too large and would equal 0.03125. Option B is correct because \(1\div320=0.003125\). Option C, \(1/3200\), is ten times too small and equals 0.0003125. Option D, \(3125/100000\), is not the correct unsimplified fraction: six decimal places require denominator 1,000,000, not 100,000; it also equals 0.03125. A useful check is to count all decimal places carefully before simplifying.