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\frac{1}{30}\times 34.6=x
Multiply both sides by 34.6.
\frac{1}{30}\times \frac{173}{5}=x
Convert decimal number 34.6 to fraction \frac{346}{10}. Reduce the fraction \frac{346}{10} to lowest terms by extracting and canceling out 2.
\frac{1\times 173}{30\times 5}=x
Multiply \frac{1}{30} times \frac{173}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{173}{150}=x
Do the multiplications in the fraction \frac{1\times 173}{30\times 5}.
x=\frac{173}{150}
Swap sides so that all variable terms are on the left hand side.