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\frac{375}{100}=\frac{540}{x}
Divide both sides by 100.
\frac{15}{4}=\frac{540}{x}
Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.
15x=4\times 540
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of 4,x.
15x=2160
Multiply 4 and 540 to get 2160.
x=\frac{2160}{15}
Divide both sides by 15.
x=144
Divide 2160 by 15 to get 144.