[tex]a)2 \frac{2}{9} \times \frac{6}{25} - \frac{2}{27} \times \frac{9}{8} = \\ \frac{20}{9} \times \frac{6}{25} - \frac{1}{12} \\ \frac{8}{15} - \frac{1}{12} = \frac{96 - 15}{180} = \frac{81}{180} \\ b) \frac{12}{5} \times \frac{7}{24} + \frac{5}{72} \times 1 \frac{23}{25} = \\ \frac{7}{10} + \frac{5}{72} \times \frac{48}{25} = \\ \frac{7}{10} + \frac{1 \times 12}{18 \times 5} = \frac{7}{10} + \frac{12}{90} = \\ \frac{63 + 12}{90} = \frac{75}{90} = \frac{15}{18} [/tex]
[tex]c) \frac{5}{18} \times \frac{27}{25} - \frac{2}{81} \times \frac{27}{8} = \\ \frac{3}{10} - \frac{1}{12} = \frac{36 - 10}{120} = \frac{26}{120} = \frac{13}{60} [/tex]
[tex]d) \frac{5}{18} \times \frac{27}{5} + \frac{16}{25} \times \frac{5}{24} = \\ \frac{3}{2} + \frac{2}{15} = \frac{45 + 4}{30} = \frac{49}{30} [/tex]
[tex]e) \frac{45}{16} \times \frac{2}{27} - \frac{4}{15} \times \frac{5}{24} = \\ \frac{15}{72} - \frac{1}{18} = \frac{15 - 4}{72} = \frac{11}{72} [/tex]
[tex]f) \frac{11}{21} \times \frac{7}{10} + 4 \frac{11}{16} \times \frac{8}{45} = \\ \frac{11}{30} + \frac{75}{16} \times \frac{8}{45} = \\ \frac{11}{30} + \frac{5}{6} = \frac{11 + 25}{30} = \frac{36}{30} = \frac{12}{10} [/tex]
