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\frac{11.66}{111}\times 1
Divide 100 by 100 to get 1.
\frac{1166}{11100}\times 1
Expand \frac{11.66}{111} by multiplying both numerator and the denominator by 100.
\frac{583}{5550}\times 1
Reduce the fraction \frac{1166}{11100} to lowest terms by extracting and canceling out 2.
\frac{583}{5550}
Multiply \frac{583}{5550} and 1 to get \frac{583}{5550}.