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100x=193\times 16
Multiply both sides of the equation by 19300, the least common multiple of 193,100.
100x=3088
Multiply 193 and 16 to get 3088.
x=\frac{3088}{100}
Divide both sides by 100.
x=\frac{772}{25}
Reduce the fraction \frac{3088}{100} to lowest terms by extracting and canceling out 4.