Пошаговое объяснение:

[tex] \frac{4}{45} \div ( \frac{12}{25} - \frac{4}{15} ) + \frac{15}{16} \times \frac{4}{15} = \frac{4}{45} \div ( \frac{12 \times 3 - 4 \times 5}{75} ) + \frac{1}{4} = \frac{4}{45} \div \frac{16}{75} + \frac{1}{4} = \frac{4}{45} \times \frac{75}{16} + \frac{1}{4} = \frac{5}{12} + \frac{1}{4} = \frac{5 \times 1 + 1 \times 3}{12} = \frac{8}{12} = \frac{2}{3} \\ {(1 - \frac{1}{2}) }^{2} \div {( \frac{1}{3} - \frac{1}{4} )}^{2} \times {( \frac{1}{6}) }^{2} = {( \frac{1}{2} )}^{2} \div {( \frac{4 - 3}{12}) }^{2} \times \frac{1}{36} = \frac{1}{4} \times \frac{12}{1} \times \frac{1}{36} = \frac{1}{12} \\ x \times \frac{14}{15} = \frac{7}{9} \\ x = \frac{7}{9} \div \frac{14}{15} \\ x = \frac{7}{9} \times \frac{15}{14} \\ x = \frac{5}{6} \\ \frac{16}{19} \div x = \frac{8}{11} \\ x = \frac{16}{19} \div \frac{8}{11} \\ x = \frac{16}{19} \times \frac{11}{8} \\ x = \frac{22}{19} = 1 \frac{3}{19} \\ 51 \times \frac{3}{11} + 51 \times \frac{8}{11} = 51( \frac{3}{11} + \frac{8}{11} ) = 51 \\ \frac{26}{37} \times \frac{35}{36} \times ( \frac{36}{35} \times \frac{37}{52} ) = \frac{26 \times 35 \times 36 \times 37}{37 \times 36 \times 35 \times 52} = \frac{1}{2} [/tex]