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-\frac{21}{30}+\frac{8}{30}
Least common multiple of 10 and 15 is 30. Convert -\frac{7}{10} and \frac{4}{15} to fractions with denominator 30.
\frac{-21+8}{30}
Since -\frac{21}{30} and \frac{8}{30} have the same denominator, add them by adding their numerators.
-\frac{13}{30}
Add -21 and 8 to get -13.