[tex] \frac{15}{4} =\ \textgreater \ 3 \frac{3}{4} ( \frac{4*3+3}{4}= \frac{15}{4} )\\\\
\frac{34}{9} =\ \textgreater \ 3 \frac{7}{9} ( \frac{9*3+7)}{9} = \frac{34}{9})\\\\
\frac{241}{14} =\ \textgreater \ 17 \frac{3}{14} ( \frac{17*14+3)}{14} = \frac{241}{14} )[/tex]