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\frac{13}{39}=\frac{x}{0.6}
Expand \frac{1.3}{3.9} by multiplying both numerator and the denominator by 10.
\frac{1}{3}=\frac{x}{0.6}
Reduce the fraction \frac{13}{39} to lowest terms by extracting and canceling out 13.
\frac{x}{0.6}=\frac{1}{3}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{3}\times 0.6
Multiply both sides by 0.6.
x=\frac{1}{3}\times \frac{3}{5}
Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
x=\frac{1\times 3}{3\times 5}
Multiply \frac{1}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.
x=\frac{1}{5}
Cancel out 3 in both numerator and denominator.