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\frac{4}{9}\times 3.6=x
Multiply both sides by 3.6.
\frac{4}{9}\times \frac{18}{5}=x
Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.
\frac{4\times 18}{9\times 5}=x
Multiply \frac{4}{9} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{72}{45}=x
Do the multiplications in the fraction \frac{4\times 18}{9\times 5}.
\frac{8}{5}=x
Reduce the fraction \frac{72}{45} to lowest terms by extracting and canceling out 9.
x=\frac{8}{5}
Swap sides so that all variable terms are on the left hand side.