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\frac{10}{254}\times 10^{-3}
Expand \frac{0.001}{0.0254} by multiplying both numerator and the denominator by 10000.
\frac{5}{127}\times 10^{-3}
Reduce the fraction \frac{10}{254} to lowest terms by extracting and canceling out 2.
\frac{5}{127}\times \frac{1}{1000}
Calculate 10 to the power of -3 and get \frac{1}{1000}.
\frac{1}{25400}
Multiply \frac{5}{127} and \frac{1}{1000} to get \frac{1}{25400}.