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5/6=1-1/6; 1/2=1-1/2; 3/4=1-1/4; 2/3=1-1/3; 4/5=1-1/5; 12/13=1-1/13; 11/12=1-1/12
1/2>1/3>1/4>1/5>1/6>1/12>1/13
=>1/2<2/3<3/4<4/5<5/6<11/12<12/13<1<33/32<34/33
TL
a) 6;6,01;6,02;6,03;6,04;6,05;6,1
b) 6,1;6,05;6,04;6,03;6,02;6,01;6
~HT~
\(\dfrac{3}{14};\dfrac{2}{5};\dfrac{3}{5};\dfrac{5}{7};\dfrac{7}{6}\)
\(\dfrac{3}{5};\dfrac{5}{7};\dfrac{7}{6};\dfrac{3}{14};\dfrac{2}{5}=\dfrac{126}{210};\dfrac{150}{210};\dfrac{245}{210};\dfrac{45}{210};\dfrac{126}{210}\)
\(\dfrac{45}{210};\dfrac{126}{216};\dfrac{150}{210}\)
\(\dfrac{3}{5}=\dfrac{36}{60};\dfrac{3}{4}=\dfrac{45}{60};\dfrac{7}{12}=\dfrac{35}{60}\\ \dfrac{35}{60}< \dfrac{36}{60}< \dfrac{45}{60}\Rightarrow\dfrac{7}{12}< \dfrac{3}{5}< \dfrac{3}{4}\)
\(\frac{3}{4}< \frac{3}{2}< \frac{5}{3}< \frac{5}{2}< \frac{6}{1}< \frac{29}{4}\)
\(\dfrac{1}{2};\dfrac{2}{3};\dfrac{3}{4};\dfrac{4}{5};\dfrac{5}{6};\dfrac{6}{7};\dfrac{7}{8};\dfrac{8}{9};\dfrac{9}{10}\)