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\frac{4}{30}-\frac{9}{30}
Least common multiple of 15 and 10 is 30. Convert \frac{2}{15} and \frac{3}{10} to fractions with denominator 30.
\frac{4-9}{30}
Since \frac{4}{30} and \frac{9}{30} have the same denominator, subtract them by subtracting their numerators.
\frac{-5}{30}
Subtract 9 from 4 to get -5.
-\frac{1}{6}
Reduce the fraction \frac{-5}{30} to lowest terms by extracting and canceling out 5.