9) $1\frac{1}{14}:\left(1\frac{26}{35}-2\frac{3}{5}\right)$;

Question

Вопрос: $Фото задания: 9) $1\frac{1}{14}:\left(1\frac{26}{35}-2\frac{3}{5}\right)$;$ Фото задания

Accepted Answer

Преобразуем смешанные числа:

\[1\frac{1}{14}=\frac{15}{14},\qquad 1\frac{26}{35}=\frac{61}{35},\qquad 2\frac{3}{5}=\frac{13}{5}.\]

\[\frac{15}{14}:\left(\frac{61}{35}-\frac{13}{5}\right)=\frac{15}{14}:\left(\frac{61}{35}-\frac{91}{35}\right).\]

\[\frac{15}{14}:\left(-\frac{30}{35}\right)=\frac{15}{14}:\left(-\frac{6}{7}\right)=\frac{15}{14}\cdot\left(-\frac{7}{6}\right)=-\frac{5}{4}.\]

Ответ: $-\frac{5}{4}$.

9) \(1\frac{1}{14}:\left(1\frac{26}{35}-2\frac{3}{5}\right)\);