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\frac{3}{5}-\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{9}{15}-\frac{10}{15}
Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{2}{3} to fractions with denominator 15.
\frac{9-10}{15}
Since \frac{9}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.
-\frac{1}{15}
Subtract 10 from 9 to get -1.