$\frac{5}{6}+\frac{-2}{5}-\frac{-2}{15}$
Taking the LCM of the denominators:
$\frac{25}{30}+\frac{-12}{30}-\frac{-4}{30}$
$=\frac{25+(-12)-(-4)}{30}$
$=\frac{25-12+4}{30}$
$=\frac{17}{30}$
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