\[ 0,9 - 1,42 - 3,878 = -0,52 - 3,878 = -4,398 \]
\[ 2\frac{2}{5} = \frac{2 \cdot 5 + 2}{5} = \frac{12}{5} \]
\[ 1\frac{5}{6} = \frac{1 \cdot 6 + 5}{6} = \frac{11}{6} \]
\[ -4,398 : \frac{12}{5} = -4,398 \cdot \frac{5}{12} = - \frac{4,398 \cdot 5}{12} = - \frac{21,99}{12} = -1,8325 \]
\[ -1,8325 - \frac{11}{6} \]
Переведем дробь \(\frac{11}{6}\) в десятичную: \( \frac{11}{6} \approx 1,8333... \)
\[ -1,8325 - 1,8333... = -3,6658... \]
Округлим до сотых: -3,67
Ответ: -3,67