Răspuns:
Explicație pas cu pas:
[tex]1 \div \Big(1 \div \frac{11}{30} - 1.5\Big) + {2}^{ - 3} \div \frac{27}{40} \\ [/tex]
[tex] = 1 \div\Big(1 \times \frac{30}{11} - \frac{15 {}^{(5} }{10} \Big) + \frac{1}{ {2}^{3} } \times \frac{40}{27} \\ [/tex]
[tex] = 1 \div \Big(\frac{ {}^{2)} 30}{11} - \frac{ {}^{11)} 3}{2} ) + \frac{1}{\not{8}} \times \frac{\not{40}}{27} \\ [/tex]
[tex] = 1 \div \frac{60 - 33}{22} + \frac{5}{27} \\ [/tex]
[tex] = 1 \div \frac{27}{22} + \frac{5}{27} \\ [/tex]
[tex] = \frac{22}{27} + \frac{5}{27} = \frac{27}{27} = \boxed{1} \\ [/tex]
