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\frac{180+1}{20}-\frac{117}{100}
Multiply 9 and 20 to get 180.
\frac{181}{20}-\frac{117}{100}
Add 180 and 1 to get 181.
\frac{905}{100}-\frac{117}{100}
Least common multiple of 20 and 100 is 100. Convert \frac{181}{20} and \frac{117}{100} to fractions with denominator 100.
\frac{905-117}{100}
Since \frac{905}{100} and \frac{117}{100} have the same denominator, subtract them by subtracting their numerators.
\frac{788}{100}
Subtract 117 from 905 to get 788.
\frac{197}{25}
Reduce the fraction \frac{788}{100} to lowest terms by extracting and canceling out 4.