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73x=44\times 509\times \frac{73}{100}
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 44x, the least common multiple of 44,x.
73x=22396\times \frac{73}{100}
Multiply 44 and 509 to get 22396.
73x=\frac{22396\times 73}{100}
Express 22396\times \frac{73}{100} as a single fraction.
73x=\frac{1634908}{100}
Multiply 22396 and 73 to get 1634908.
73x=\frac{408727}{25}
Reduce the fraction \frac{1634908}{100} to lowest terms by extracting and canceling out 4.
x=\frac{\frac{408727}{25}}{73}
Divide both sides by 73.
x=\frac{408727}{25\times 73}
Express \frac{\frac{408727}{25}}{73} as a single fraction.
x=\frac{408727}{1825}
Multiply 25 and 73 to get 1825.
x=\frac{5599}{25}
Reduce the fraction \frac{408727}{1825} to lowest terms by extracting and canceling out 73.