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\frac{12}{15}-\frac{10}{15}
Least common multiple of 5 and 3 is 15. Convert \frac{4}{5} and \frac{2}{3} to fractions with denominator 15.
\frac{12-10}{15}
Since \frac{12}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{2}{15}
Subtract 10 from 12 to get 2.