Răspuns:
Explicație pas cu pas:
1)
[tex] \frac{5}{6} \div \Big( \frac{4}{6} \div \frac{8}{3} \Big) \\ [/tex]
[tex] = \frac{5}{6} \div \Big( \frac{ \not 4}{ \not 6 } \times \frac{ \not3}{ \not8} \Big) \\ [/tex]
[tex] = \frac{5}{6} \div \Big( \frac{1}{2} \times \frac{1}{2} \Big) \\ [/tex]
[tex] = \frac{5}{6} \div \frac{1}{4} \\ [/tex]
[tex] = \frac{5}{6} \times 4 = \frac{20 {}^{(2} }{6} = \boxed{ \frac{10}{3}} \\ [/tex]
2)
[tex] \Big(\frac{ {}^{2)} 1}{2} + \frac{1}{4} \Big) \times 8 \\ [/tex]
[tex] = \Big( \frac{2}{4} + \frac{1}{4} \Big) \times 8 \\ [/tex]
[tex] = \frac{3}{4} \times 8 = \frac{24}{4} = \boxed{6} \\ [/tex]
3)
[tex] \frac{3 {}^{4} }{ {2}^{3} } \div \Big( \frac{3}{2} \Big) {}^{4} \\ [/tex]
[tex] = \frac{3 {}^{4} }{2 {}^{3} } \div \frac{3⁴}{2⁴} \\ [/tex]
[tex] = \frac{ \not3 {}^{4} }{2 {}^{ \not3} } \times \frac{2 {}^{ \not4} }{ \not 3 {}^{4} } = \boxed{2} \\ [/tex]
