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\frac{0.078}{0.6}=x
Divide both sides by 0.6.
\frac{78}{600}=x
Expand \frac{0.078}{0.6} by multiplying both numerator and the denominator by 1000.
\frac{13}{100}=x
Reduce the fraction \frac{78}{600} to lowest terms by extracting and canceling out 6.
x=\frac{13}{100}
Swap sides so that all variable terms are on the left hand side.