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0.05\times 3=x\times 6
Multiply both sides of the equation by 1000.
0.15=x\times 6
Multiply 0.05 and 3 to get 0.15.
x\times 6=0.15
Swap sides so that all variable terms are on the left hand side.
x=\frac{0.15}{6}
Divide both sides by 6.
x=\frac{15}{600}
Expand \frac{0.15}{6} by multiplying both numerator and the denominator by 100.
x=\frac{1}{40}
Reduce the fraction \frac{15}{600} to lowest terms by extracting and canceling out 15.