Question

Indicați între două numere naturale consecutive se află fractiile: a)13supra6 b)17supra6 c)38supra10 d)65supra21 e)165supra13 f)723supra100.

Answer 1

   
[tex]\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\\\\ [/tex]