[tex](1 \frac{9}{16} \times 3 \frac{1}{5} + 6 \frac{2}{3} - 9 \div 2 \frac{2}{5} ) \div (17 \frac{7}{12} - 6 \frac{1}{3} ) = \frac{19}{27} \\ 1) \: 1 \frac{9}{16} \times 3 \frac{1}{5} = \frac{25 \times 16}{16 \times 5} = 5 \\ 2) \: 5 + 6 \frac{2}{3} = 11 \frac{2}{3} \\ 3) \: 9 \div 2 \frac{2}{5} = \frac{9 \times 5}{12} = \frac{3 \times 5}{4} = \frac{15}{4} = 3 \frac{3}{4} \\ 4) \: 11 \frac{2}{3} - 3 \frac{3}{4} = 11 \frac{8}{12} - 3 \frac{9}{12} = 10 \frac{20}{12} - 3 \frac{9}{12} = 7 \frac{11}{12} \\ 5) \: 17 \frac{7}{12} - 6 \frac{1}{3} = 17 \frac{7}{12} - 6 \frac{4}{12} = 11 \frac{3}{12} = 11 \frac{1}{4} \\ 6) \: 7 \frac{11}{12} \div 11 \frac{1}{4} = \frac{95 \times 4}{12 \times 45} = \frac{19}{3 \times 9} = \frac{19}{27} [/tex]
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[tex](1 \frac{9}{16} \times 3 \frac{1}{5} + 6 \frac{2}{3} - 9 \div 2 \frac{2}{5} ) \div (17 \frac{7}{12} - 6 \frac{1}{3} ) = \frac{19}{27} \\ 1) \: 1 \frac{9}{16} \times 3 \frac{1}{5} = \frac{25 \times 16}{16 \times 5} = 5 \\ 2) \: 5 + 6 \frac{2}{3} = 11 \frac{2}{3} \\ 3) \: 9 \div 2 \frac{2}{5} = \frac{9 \times 5}{12} = \frac{3 \times 5}{4} = \frac{15}{4} = 3 \frac{3}{4} \\ 4) \: 11 \frac{2}{3} - 3 \frac{3}{4} = 11 \frac{8}{12} - 3 \frac{9}{12} = 10 \frac{20}{12} - 3 \frac{9}{12} = 7 \frac{11}{12} \\ 5) \: 17 \frac{7}{12} - 6 \frac{1}{3} = 17 \frac{7}{12} - 6 \frac{4}{12} = 11 \frac{3}{12} = 11 \frac{1}{4} \\ 6) \: 7 \frac{11}{12} \div 11 \frac{1}{4} = \frac{95 \times 4}{12 \times 45} = \frac{19}{3 \times 9} = \frac{19}{27} [/tex]