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43. $6 : \frac{18}{23} + 2\frac{2}{3} \cdot (\frac{3}{14} - 4\frac{13}{28})$ 1) $\frac{3}{14} - 4\frac{13}{28} = \frac{6}{28} - \frac{125}{28} = -\frac{119}{28} = -\frac{17}{4}$ 2) $6 : \frac{18}{23} = 6 \cdot \frac{23}{18} = \frac{23}{3} = 7\frac{2}{3}$ 3) $2\frac{2}{3} \cdot (-\frac{17}{4}) = \frac{8}{3} \cdot (-\frac{17}{4}) = -\frac{2 \cdot 17}{3} = -\frac{34}{3} = -11\frac{1}{3}$ 4) $7\frac{2}{3} + (-11\frac{1}{3}) = 7\frac{2}{3} - 11\frac{1}{3} = -3\frac{2}{3}$ **Ответ: $-3\frac{2}{3}$** 44. $-1 + (\frac{7}{16} + \frac{5}{8}) : 4\frac{1}{4} - \frac{1}{3}$ 1) $\frac{7}{16} + \frac{5}{8} = \frac{7}{16} + \frac{10}{16} = \frac{17}{16}$ 2) $\frac{17}{16} : 4\frac{1}{4} = \frac{17}{16} : \frac{17}{4} = \frac{17}{16} \cdot \frac{4}{17} = \frac{4}{16} = \frac{1}{4}$ 3) $-1 + \frac{1}{4} = -\frac{3}{4}$ 4) $-\frac{3}{4} - \frac{1}{3} = -\frac{9}{12} - \frac{4}{12} = -\frac{13}{12} = -1\frac{1}{12}$ **Ответ: $-1\frac{1}{12}$** 45. $1\frac{1}{3} + \frac{3}{7} \cdot 1\frac{13}{15} - 2\frac{4}{9} : \frac{11}{12}$ 1) $\frac{3}{7} \cdot 1\frac{13}{15} = \frac{3}{7} \cdot \frac{28}{15} = \frac{1 \cdot 4}{1 \cdot 5} = \frac{4}{5}$ 2) $2\frac{4}{9} : \frac{11}{12} = \frac{22}{9} \cdot \frac{12}{11} = \frac{2 \cdot 4}{3 \cdot 1} = \frac{8}{3} = 2\frac{2}{3}$ 3) $1\frac{1}{3} + \frac{4}{5} = 1\frac{5}{15} + \frac{12}{15} = 1\frac{17}{15} = 2\frac{2}{15}$ 4) $2\frac{2}{15} - 2\frac{2}{3} = \frac{32}{15} - \frac{8}{3} = \frac{32}{15} - \frac{40}{15} = -\frac{8}{15}$ **Ответ: $-\frac{8}{15}$**