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-\frac{21}{15}-\frac{14}{15}
Least common multiple of 5 and 15 is 15. Convert -\frac{7}{5} and \frac{14}{15} to fractions with denominator 15.
\frac{-21-14}{15}
Since -\frac{21}{15} and \frac{14}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{-35}{15}
Subtract 14 from -21 to get -35.
-\frac{7}{3}
Reduce the fraction \frac{-35}{15} to lowest terms by extracting and canceling out 5.