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\frac{110}{100}=\frac{165}{x}
Divide both sides by 100.
\frac{11}{10}=\frac{165}{x}
Reduce the fraction \frac{110}{100} to lowest terms by extracting and canceling out 10.
11x=10\times 165
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of 10,x.
11x=1650
Multiply 10 and 165 to get 1650.
x=\frac{1650}{11}
Divide both sides by 11.
x=150
Divide 1650 by 11 to get 150.