Răspuns:
[tex] \frac{4}{5} [/tex]
Explicație pas cu pas:
[tex] \frac{ \frac{4 \times 5 + 4}{5} \times \frac{4 \times 6 + 1}{6} - \frac{4 \times 3 + 2}{3} \div \frac{4}{15} + \frac{16 \times 2 + 1}{2} } { \frac{9 \times 7 + 3}{7} - \frac{34}{63} \times \frac{4 \times 2 + 1}{2} } \times \frac{ \frac{8 \times 5 + 3}{5} - \frac{2 \times 5 + 1}{5} }{19} \div \frac{7 + 1}{7} \\ = \frac{ \frac{24}{5} \times \frac{25}{6}-\frac{14}{3}\times \frac{15}{4}+\frac{33}{2} } { \frac{66}{7} - \frac{34}{63} \times \frac{9}{2} }\times\frac{ \frac{43}{5} - \frac{11}{5} }{19} \times \frac{7}{8} \\ = \frac{ 4 \times 5 - \frac{7 \times 5}{2}+\frac{33}{2} } { \frac{66}{7} - \frac{17}{7} }\times\frac{ \frac{32}{5}}{19} \times \frac{7}{8} \\ = \frac{20 - \frac{35 - 33}{2} } { \frac{49}{7} }\times\frac{32 \times 7}{5 \times 19 \times 8} \\ = \frac{20 - 1} { 7 }\times\frac{4 \times 7}{5 \times 19} \\ = \frac{19 \times 4}{5 \times 19} \\ = \frac{4}{5} [/tex]
