Răspuns:
[tex] \bf0.5 + 8 \cdot \bigg( \dfrac{1}{4 } + \bigg(\dfrac{7}{12} - \dfrac{1}{24} \bigg)\div 8 \dfrac{2}{3}\bigg) =
[/tex]
[tex] \bf \dfrac{5}{10} + 8 \cdot \bigg( \dfrac{1}{4 } + \bigg(\dfrac{7 \cdot2}{24} - \dfrac{1}{24} \bigg)\div \dfrac{8 \cdot3 + 2}{3}\bigg) = [/tex]
[tex]\bf \dfrac{5}{10} + 8 \cdot \bigg( \dfrac{1}{4 } +\dfrac{14 - 1}{24}\div \dfrac{24 + 2}{3}\bigg) = [/tex]
[tex]\bf \dfrac{5}{10} + 8 \cdot \bigg( \dfrac{1}{4 } +\dfrac{13}{24}\div \dfrac{26}{3}\bigg) = [/tex]
[tex]\bf \dfrac{5}{10} + 8 \cdot \bigg( \dfrac{1}{4 } +\dfrac{13}{24}\cdot \dfrac{3}{26}\bigg) =[/tex]
[tex]\bf \dfrac{5}{10} + 8 \cdot \bigg( \dfrac{1}{4 } +\dfrac{ \not13}{ \not24}\cdot \dfrac{ \not3}{ \not26}\bigg) =[/tex]
[tex]\bf \dfrac{5}{10} + 8 \cdot \bigg( \dfrac{1}{4 } +\dfrac{ 1}{8}\cdot \dfrac{1}{2}\bigg) =[/tex]
[tex]\bf \dfrac{5}{10} + 8 \cdot \bigg( \dfrac{1}{4 } +\dfrac{ 1}{16}\bigg) =[/tex]
[tex]\bf \dfrac{5}{10} + 8 \cdot \dfrac{4 + 1}{16} =[/tex]
[tex]\bf \dfrac{ \not5}{ \not10} + 8 \cdot \dfrac{5}{16} =[/tex]
[tex]\bf \dfrac{1}{2} + \not8 \cdot \dfrac{5}{ \not16} =[/tex]
[tex]\bf \dfrac{1}{2} + \dfrac{5}{2} =[/tex]
[tex]\bf \dfrac{1 + 5}{2}=[/tex]
[tex]\bf \dfrac{ \not6}{ \not2}=[/tex]
[tex] \boxed{\boxed{\bf 3}}[/tex]
