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\frac{1}{1000}\times 100=x
Multiply both sides by 100.
\frac{100}{1000}=x
Multiply \frac{1}{1000} and 100 to get \frac{100}{1000}.
\frac{1}{10}=x
Reduce the fraction \frac{100}{1000} to lowest terms by extracting and canceling out 100.
x=\frac{1}{10}
Swap sides so that all variable terms are on the left hand side.