+399 Hello,
To convert \(0.038\overline{146}\) into a fraction, we can use a relatively simple operation, which can be used for solving a variety of problems. We set \(x = 0.038\overline{146}\), but we also see that mutitplying x by 1000 produces a similar repeating decimal, \(1000x = 38.\overline{146}\). We see that these repeating decimals, are both some relatively simple number + the repeating decimal 0.000146146.... To cancel out, we subtract x from 1000x, yielding \(1000x-x=38.\overline{146} - 0.038\overline{146} \), so \(999x=38.108\), and after simplification, x=9527/249750
