$a)\frac{5}{14}\cdot 7=\frac{5}{14}\cdot \frac{7}{1}=\frac{5\cdot {\sout{7}}^1}{{\sout{14}}^2\cdot 1}=\frac{5}{2}=2\frac{1}{2}$  

 

$b)\frac{5}{9}\cdot 6=\frac{5}{9}\cdot \frac{6}{1}=\frac{5\cdot {\sout{6}}^2}{{\sout{9}}^3\cdot 1}=\frac{10}{3}=3\frac{1}{3}$ $b)\frac{5}{9}\cdot 6=\frac{5}{9}\cdot \frac{6}{1}=\frac{5\cdot {\sout{6}}^2}{{\sout{9}}^3\cdot 1}=\frac{10}{3}=3\frac{1}{3}$  

 

$c)\frac{3}{7}\cdot \frac{4}{5}=\frac{12}{35}$

 

$d)\frac{4}{9}\cdot \frac{3}{8}=\frac{{\sout{4}}^1\cdot {\sout{3}}^1}{{\sout{9}}^3\cdot {\sout{8}}^2}=\frac{1}{6}$  

 

$e)3\frac{3}{5}\cdot 10=\frac{18}{5}\cdot 10=\frac{18\cdot {\sout{10}}^2}{{\sout{5}}^1}=36$  

 

$f)2\frac{1}{4}\cdot \frac{2}{3}=\frac{9}{4}\cdot \frac{2}{3}=\frac{{\sout{9}}^3\cdot {\sout{2}}^1}{{\sout{4}}^2\cdot {\sout{3}}^1}=\frac{3}{2}=1\frac{1}{2}$  

 

$g)1\frac{7}{8}\cdot 2\frac{2}{5}=\frac{15}{8}\cdot \frac{12}{5}=\frac{{\sout{15}}^3\cdot {\sout{12}}^3}{{\sout{8}}^2\cdot {\sout{5}}^1}=\frac{9}{2}=4\frac{1}{2}$  

 

$h)3\frac{1}{3}\cdot 4\frac{4}{5}=\frac{10}{3}\cdot \frac{24}{5}=\frac{{\sout{10}}^2\cdot {\sout{24}}^8}{{\sout{3}}^1\cdot {\sout{5}}^1}=16$