$\frac{2}{9}=0,(2)$
$\begin{array}{cc}\begin{array}{l}\underset{¯}{\phantom{0}}2\\ \phantom{0}\underset{¯}{0}\\ \underset{¯}{\phantom{0}}20\\ \phantom{0}\underset{¯}{18}\\ \phantom{0}\underset{¯}{\phantom{0}}20\\ \phantom{00}\underset{¯}{18}\\ \phantom{000}2\text{...}\end{array}& \begin{array}{l}\overline{)9}\\ \overline{\overline{)\mathrm{0,22...}}}\end{array}\end{array}$
0,(2) > 0,2, значит:
$\frac{2}{9}>0,2$

$\frac{5}{6}=0,8(3)$
$\begin{array}{cc}\begin{array}{l}\underset{¯}{\phantom{0}}5\\ \phantom{0}\underset{¯}{0}\\ \underset{¯}{\phantom{0}}50\\ \phantom{0}\underset{¯}{48}\\ \phantom{0}\underset{¯}{\phantom{0}}20\\ \phantom{00}\underset{¯}{18}\\ \phantom{00}\underset{¯}{\phantom{0}}20\\ \phantom{000}\underset{¯}{18}\\ \phantom{0000}2\text{...}\end{array}& \begin{array}{l}\overline{)6}\\ \overline{\overline{)\mathrm{0,833...}}}\end{array}\end{array}$
0,834 > 0,8(3), значит:
$0,834>\frac{5}{6}$

$\frac{29}{12}=2,41(6)$
$\begin{array}{cc}\begin{array}{l}\underset{¯}{\phantom{0}}29\\ \phantom{0}\underset{¯}{24}\\ \phantom{0}\underset{¯}{\phantom{0}}50\\ \phantom{00}\underset{¯}{48}\\ \phantom{00}\underset{¯}{\phantom{0}}20\\ \phantom{000}\underset{¯}{12}\\ \phantom{000}\underset{¯}{\phantom{0}}80\\ \phantom{0000}\underset{¯}{72}\\ \phantom{0000}\underset{¯}{\phantom{0}}80\\ \phantom{00000}\underset{¯}{72}\\ \phantom{000000}8\text{...}\end{array}& \begin{array}{l}\overline{)12}\\ \overline{\overline{)\mathrm{2,4166...}}}\end{array}\end{array}$
2,41(6) > 2,4, значит:
$\frac{29}{12}>2,4$