[tex]a)\\\\ \frac{2}{5}*2 \frac{1}{2} *\frac{7}{2}: 3\frac{1}{2}= \frac{\not{2}^1}{\not{5}^1}* \frac{\not{5}^1}{ \not{2}^1} *\frac{7}{ 2}: \frac{7}{2}= 1* *\frac{ \not{7}^1}{ \not{2}^1}*\frac{\not{2}^1}{\not{7}^1} =1*1=1[/tex]
[tex]b)\\\\ 4\frac{ 1}{2}*(+ \frac{2}{3})*2\frac{2}{3} :18 = \frac{\not{9}^3}{\not{2}^1}*(+ \frac{\not{2}^1}{\not{3}^1})* \frac{\not{8}^4}{ 3}* \frac{1}{\not{18}^9} = \not{3}^1* \frac{4}{\not{27}^9}=\frac{4}{9}[/tex]
[tex]c)\\\\ (+\frac{7}{5})*\frac{2}{3}*(+1\frac{1}{7} ): (+\frac{3}{7})= \frac{ 14}{15}*(+ \frac{8}{\not{7}^1} )* (+\frac{\not{7}^1}{3} )= \frac{14}{15}*\frac{8}{3}=\frac{112}{45}=2\frac{22}{45}[/tex]
[tex]d)\\\\ \frac{5}{3}: (+ 2 \frac{2}{3}) *( \frac{1}{6})*\frac{8}{3} =\frac{5}{3}: (+ \frac{8}{3}) *( \frac{1}{\not{6}^3})*\frac{\not{8}^4}{3}=\frac{5}{\not{3}^1}*(\frac{\not{3}^1}{\not{8}^2})*\frac{\not{4}^1}{9}=\frac{5}{18}[/tex]