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