$\text{a)}1\frac{1}{4}\cdot \frac{7}{10}=\frac{{\sout{5}}^1}{4}\cdot \frac{7}{{\sout{10}}^2}=\frac{7}{8}$  

$\text{b)}2\frac{2}{5}\cdot 3\frac{1}{3}=\frac{{\sout{12}}^4}{{\sout{5}}^1}\cdot \frac{{\sout{10}}^2}{{\sout{3}}^1}=8$ $\text{b)}2\frac{2}{5}\cdot 3\frac{1}{3}=\frac{{\sout{12}}^4}{{\sout{5}}^1}\cdot \frac{{\sout{10}}^2}{{\sout{3}}^1}=8$  

$\text{c)}\frac{3}{4}:2=\frac{3}{4}\cdot \frac{1}{2}=\frac{3}{8}$  

$\text{d)}\frac{5}{7}:\frac{2}{3}=\frac{5}{7}\cdot \frac{3}{2}=\frac{15}{14}=1\frac{1}{14}$  

$\text{e)}1\frac{7}{10}:\frac{2}{5}=\frac{17}{{\sout{10}}^2}\cdot \frac{{\sout{5}}^1}{2}=\frac{17}{4}=4\frac{1}{4}$  

$\text{f)}2\frac{1}{4}:1\frac{3}{5}=\frac{9}{4}:\frac{8}{5}=\frac{9}{4}\cdot \frac{5}{8}=\frac{45}{32}=1\frac{13}{32}$