Răspuns:
\begin{gathered}\displaystyle\\ a)~\frac{13}{6} = 2~rest~1 ~~\Longrightarrow~~2\ \textless \ \frac{13}{6}\ \textless \ 3\\\\ b)~\frac{17}{6} = 2~rest~5 ~~\Longrightarrow~~2\ \textless \ \frac{17}{6}\ \textless \ 3\\\\ c)~\frac{38}{10} = 3~rest~8 ~~\Longrightarrow~~3\ \textless \ \frac{38}{10}\ \textless \ 4\\\\ d)~\frac{65}{21} = 3~rest~2 ~~\Longrightarrow~~3\ \textless \ \frac{65}{21}\ \textless \ 4\\\\ e)~\frac{165}{13}=12~rest~9~~\Longrightarrow~~12\ \textless \ \frac{165}{13}\ \textless \ 13\\\\ f)~\frac{723}{100}=7~rest~23~~\Longrightarrow~~7\ \textless \ \frac{723}{100}\ \textless \ 8\\\\ \end{gathered}
a)
6
13
=2 rest 1 ⟹ 2 \textless
6
13
\textless 3
b)
6
17
=2 rest 5 ⟹ 2 \textless
6
17
\textless 3
c)
10
38
=3 rest 8 ⟹ 3 \textless
10
38
\textless 4
d)
21
65
=3 rest 2 ⟹ 3 \textless
21
65
\textless 4
e)
13
165
=12 rest 9 ⟹ 12 \textless
13
165
\textless 13
f)
100
723
=7 rest 23 ⟹ 7 \textless
100
723
\textless 8
