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\frac{23}{5}-\frac{9}{4}
Convert decimal number 4,6 to fraction \frac{46}{10}. Reduce the fraction \frac{46}{10} to lowest terms by extracting and canceling out 2.
\frac{92}{20}-\frac{45}{20}
Least common multiple of 5 and 4 is 20. Convert \frac{23}{5} and \frac{9}{4} to fractions with denominator 20.
\frac{92-45}{20}
Since \frac{92}{20} and \frac{45}{20} have the same denominator, subtract them by subtracting their numerators.
\frac{47}{20}
Subtract 45 from 92 to get 47.