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\frac{18}{x}=\frac{36.5}{100}
Divide both sides by 100.
\frac{18}{x}=\frac{365}{1000}
Expand \frac{36.5}{100} by multiplying both numerator and the denominator by 10.
\frac{18}{x}=\frac{73}{200}
Reduce the fraction \frac{365}{1000} to lowest terms by extracting and canceling out 5.
200\times 18=73x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 200x, the least common multiple of x,200.
3600=73x
Multiply 200 and 18 to get 3600.
73x=3600
Swap sides so that all variable terms are on the left hand side.
x=\frac{3600}{73}
Divide both sides by 73.