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-\frac{3}{5}\times 19+\frac{2}{5}
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
\frac{-3\times 19}{5}+\frac{2}{5}
Express -\frac{3}{5}\times 19 as a single fraction.
\frac{-57}{5}+\frac{2}{5}
Multiply -3 and 19 to get -57.
-\frac{57}{5}+\frac{2}{5}
Fraction \frac{-57}{5} can be rewritten as -\frac{57}{5} by extracting the negative sign.
\frac{-57+2}{5}
Since -\frac{57}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.
\frac{-55}{5}
Add -57 and 2 to get -55.
-11
Divide -55 by 5 to get -11.