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\frac{1}{200}\times 0.000006=x
Multiply both sides by 0.000006.
\frac{1}{200}\times \frac{3}{500000}=x
Convert decimal number 0.000006 to fraction \frac{6}{1000000}. Reduce the fraction \frac{6}{1000000} to lowest terms by extracting and canceling out 2.
\frac{1\times 3}{200\times 500000}=x
Multiply \frac{1}{200} times \frac{3}{500000} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{100000000}=x
Do the multiplications in the fraction \frac{1\times 3}{200\times 500000}.
x=\frac{3}{100000000}
Swap sides so that all variable terms are on the left hand side.