a) \(\frac{a}{b}:\frac{2}{3}=\frac{3}{5}-\frac{1}{10}\)
\(\Rightarrow\frac{a}{b}:\frac{2}{3}=\frac{6}{10}-\frac{1}{10}\)
\(\Rightarrow\frac{a}{b}:\frac{2}{3}=\frac{5}{10}\)
\(\Rightarrow\frac{a}{b}=\frac{5}{10}x\frac{2}{3}\)
\(\Rightarrow\frac{a}{b}=\frac{10}{30}\)
\(\Rightarrow\frac{a}{b}=\frac{1}{3}\)
b, \(\frac{a}{b}x\frac{1}{5}=\frac{3}{5}+1\)
\(\Rightarrow\frac{a}{b}x\frac{1}{5}=\frac{3}{5}+\frac{5}{5}\)
\(\Rightarrow\frac{a}{b}x\frac{1}{5}=\frac{8}{5}\)
\(\Rightarrow\frac{a}{b}=\frac{8}{5}:\frac{1}{5}\)
\(\Rightarrow\frac{a}{b}=\frac{8}{5}x5\)
\(\Rightarrow\frac{a}{b}=8\)