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\frac{18}{x}=\frac{365}{100}
Divide both sides by 100.
\frac{18}{x}=\frac{73}{20}
Reduce the fraction \frac{365}{100} to lowest terms by extracting and canceling out 5.
20\times 18=73x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 20x, the least common multiple of x,20.
360=73x
Multiply 20 and 18 to get 360.
73x=360
Swap sides so that all variable terms are on the left hand side.
x=\frac{360}{73}
Divide both sides by 73.