\(\frac{15}{6}\),\(\frac{2004}{1999}\),\(1\),\(\frac{12}{15}\),\(\frac{3}{5}\),\(\frac{6}{14}\)

nha

\(\frac{9}{10}>\frac{8}{9}>\frac{7}{8}>\frac{6}{7}>\frac{5}{6}>\frac{4}{5}>\frac{3}{4}>\frac{2}{3}>\frac{1}{2}.\)

9/10;8/9;7/8;6/7;5/6;4/5;3/4;2/3;1/2

chính như vậy là giảm dần rồi đó 

sau khi đỏi thành số thập phân ta đc một hằng như sau:

    -0,(714285) ; 0,7 ; -0,(842105263157894736) ; 0,(869565...8260) ; 0,65(846153) ; 1,(91588785....40186)

      Sắp xếp như sau:

               -16/19 < -5/7 < 214/315 <7/10 < 20/23 < 205/107

\(\dfrac{-5}{7}=\dfrac{-5\cdot19}{7\cdot19}=\dfrac{-95}{133}\)

\(\dfrac{-16}{19}=\dfrac{-16\cdot7}{19\cdot7}=\dfrac{-112}{133}\)

mà -95>-112

nên \(-\dfrac{16}{19}< -\dfrac{5}{7}\)(1)

\(-\dfrac{5}{7}< 0\)

\(0< \dfrac{214}{315}\)

Do đó: \(-\dfrac{5}{7}< \dfrac{214}{315}\left(3\right)\)

\(\dfrac{214}{315}< \dfrac{220.5}{315}=\dfrac{7}{10}\)(2)

\(\dfrac{7}{10}=1-\dfrac{3}{10}\)

\(\dfrac{20}{23}=1-\dfrac{3}{23}\)

ta có: \(\dfrac{3}{10}>\dfrac{3}{23}\)

=>\(-\dfrac{3}{10}< -\dfrac{3}{23}\)

=>\(-\dfrac{3}{10}+1< -\dfrac{3}{23}+1\)

=>\(\dfrac{7}{10}< \dfrac{20}{23}\)(4)

\(\dfrac{20}{23}< 1\)

\(1< \dfrac{205}{107}\)

DO đó: \(\dfrac{20}{23}< \dfrac{205}{107}\)(5)

Từ (1),(2),(3),(4),(5) suy ra \(\dfrac{-16}{19}< -\dfrac{5}{7}< \dfrac{214}{315}< \dfrac{7}{10}< \dfrac{20}{23}< \dfrac{205}{107}\)

em viết rõ câu hỏi ra nhé !

2/7;1/3;3/5;7/8;4/3

1/3;2/7;3/5;7/8;4/3

2/7 < 1/3 < 3/5 < 7/8 < 4/3