4×8/9+6×7/9÷(5×11/12-3×5/9)×1×2/3

[latex]4* \frac{8}{9} +6* \frac{7}{9} : (5* \frac{11}{12} -3* \frac{5}{9} )*1* \frac{2}{3}= 24 \frac{16}{45}[/latex] 1) [latex](5* \frac{11}{12} -3* \frac{5}{9} )= \frac{1}{2} * \frac{11}{12} - \frac{3}{10} * \frac{5}{9} = \frac{11}{24} - \frac{1}{6} = \frac{11-4}{24}= \frac{7}{24} [/latex] 2) [latex]4* \frac{8}{9} = \frac{2}{5} * \frac{8}{9} = \frac{16}{45} [/latex] 3) [latex]6* \frac{7}{9} : \frac{7}{24} *1 * \frac{2}{3} = \frac{6}{1} * \frac{7}{9} : \frac{7}{24} * \frac{1}{1} * \frac{2}{3} = \frac{14}{3} : \frac{7*1*2}{24*1*3} = \frac{14}{3} : \frac{14}{72} = \frac{14*72}{3*14}= \frac{24}{1} = 24 [/latex] 4) [latex] \frac{16}{45} + 24= \frac{16}{45} +\frac{24}{1}= \frac{16+1080}{45} = \frac{1096}{45} =24 \frac{16}{45} [/latex]