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[tex]a)\\1\frac{1}{3} *2\frac{2}{3} :\frac{4}{9} =3\frac{5}{9} : \frac{4}{9}=8 \\\\1)1\frac{1}{3} *2\frac{2}{3} = \frac{4}{3}* \frac{8}{3}=\frac{4*8}{3*3}=\frac{32}{9} =3\frac{5}{9} \\\\2)3\frac{5}{9}: \frac{4}{9}=\frac{32}{9}: \frac{4}{9} =\frac{32}{9}* \frac{9}{4}=\frac{32*\not9}{\not9*4} =\frac{32}{4}= 8[/tex]
[tex]b)\\(2-1\frac{7}{12} ):(\frac{3}{8}- \frac{1}{6} )*3\frac{1}{4}=6\frac{1}{2} \\\\1)2-1\frac{7}{12} = 1\frac{12}{12} -1\frac{7}{12}=\frac{5}{12} \\\\2)\frac{3*3}{8*3} -\frac{1*4}{6*4} =\frac{9}{24}- \frac{4}{24}=\frac{9-4}{24} =\frac{5}{24}\\\\3)\frac{5}{12}: \frac{5}{24}= \frac{5}{12}* \frac{24}{5}= \frac{\not5*24}{12*\not5}= \frac{24}{12} =2\\\\4)2*3\frac{1}{4}=2*\frac{13}{4}=\frac{26}{4}=6\frac{\not2}{\not4}=6\frac{1}{2}[/tex]
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