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\frac{3.46}{0.4}=x
Divide both sides by 0.4.
\frac{346}{40}=x
Expand \frac{3.46}{0.4} by multiplying both numerator and the denominator by 100.
\frac{173}{20}=x
Reduce the fraction \frac{346}{40} to lowest terms by extracting and canceling out 2.
x=\frac{173}{20}
Swap sides so that all variable terms are on the left hand side.