4/7<5/8<3/4<5/6<6/7<8/9<5/5

\(\dfrac{3}{5}=\dfrac{36}{60};\dfrac{3}{4}=\dfrac{45}{60};\dfrac{7}{12}=\dfrac{35}{60}\\ \dfrac{35}{60}< \dfrac{36}{60}< \dfrac{45}{60}\Rightarrow\dfrac{7}{12}< \dfrac{3}{5}< \dfrac{3}{4}\)

Quy đồng các phân số đã cho lên, ta được:

\(\dfrac{3}{4}=\dfrac{3\times42}{4\times42}=\dfrac{126}{168}\)

\(\dfrac{5}{6}=\dfrac{5\times28}{6\times28}=\dfrac{140}{168}\)

\(\dfrac{11}{8}=\dfrac{11\times21}{8\times21}=\dfrac{231}{168}\)

\(\dfrac{8}{7}=\dfrac{8\times24}{7\times24}=\dfrac{192}{168}\)

\(5=\dfrac{5}{1}=\dfrac{5\times168}{1\times168}=\dfrac{840}{168}\)

Mà \(\dfrac{840}{168}>\dfrac{231}{168}>\dfrac{192}{168}>\dfrac{140}{168}>\dfrac{126}{168}\)

Vậy ta sắp xếp được các phân số theo thứ tự tăng dần là: \(\dfrac{3}{4};\dfrac{5}{6};\dfrac{8}{7};\dfrac{11}{8};5\).

`3/4 ; 5/6 ; 8/7 ; 11/8 ; 5`

`#` `\text{dkhanhqlv}`

Ta có :

`3/4<1`

`5/6<1`

`11/8>1`

`8/7>1`

`5>1`

`11/8=385/280`

`8/7=320/280`

`5=1400/280`

`=>3/4<5/6<8/7<11/8<5`

\(\dfrac{1}{2};\dfrac{2}{3};\dfrac{3}{4};\dfrac{4}{5};\dfrac{5}{6};\dfrac{6}{7};\dfrac{7}{8};\dfrac{8}{9};\dfrac{9}{10}\)

Sắp xếp các phân số sau theo thứ tự tăng dần :

\(\dfrac{1}{2}\);\(\dfrac{2}{3}\);\(\dfrac{3}{4}\);\(\dfrac{4}{5}\);\(\dfrac{5}{6}\);\(\dfrac{6}{7}\);\(\dfrac{7}{8}\);\(\dfrac{8}{9}\);\(\dfrac{9}{10}\)

1/2

3/3

3/4

4/5

5/6

7/8

8/9

9/10

3/5=36/60;3/4=45/60;7/12=35/60

35/60<36/60<45/60 nên 7/12<3/5<3/4

\(-5,\dfrac{5}{-7},\dfrac{-3}{4},0,\dfrac{-5}{-6},\dfrac{4}{5},\dfrac{39}{7}\)