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\frac{100}{765}=\frac{1}{x}
Divide both sides by 765.
\frac{20}{153}=\frac{1}{x}
Reduce the fraction \frac{100}{765} to lowest terms by extracting and canceling out 5.
20x=153
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 153x, the least common multiple of 153,x.
x=\frac{153}{20}
Divide both sides by 20.