a) 

\(\dfrac{6}{12}=\dfrac{6:6}{12:6}=\dfrac{1}{2}\)

\(\Rightarrow\dfrac{1}{2}=\dfrac{1\times2}{2\times2}=\dfrac{2}{4}\)

Mà \(\dfrac{2}{4}< \dfrac{3}{4}\)

Vậy \(\dfrac{6}{12}< \dfrac{3}{4}\).

b)

\(\dfrac{8}{10}=\dfrac{8:2}{10:2}=\dfrac{4}{5}\)

Mà \(\dfrac{2}{5}< \dfrac{4}{5}\)

Vậy \(\dfrac{2}{5}< \dfrac{8}{10}\).

c)

\(\dfrac{40}{35}=\dfrac{40:5}{35:5}=\dfrac{8}{7}\)

Mà \(\dfrac{8}{7}>\dfrac{6}{7}\)

Vậy \(\dfrac{40}{35}>\dfrac{6}{7}\).

d)

\(\dfrac{8}{16}=\dfrac{8:8}{16:8}=\dfrac{1}{2}\)

Mà \(\dfrac{1}{2}< \dfrac{5}{2}\)

Vậy \(\dfrac{8}{16}< \dfrac{5}{2}\).

Ta có \(\dfrac{8}{10}=\dfrac{4}{5}\)

Vì 2 < 4 nên \(\dfrac{2}{5}< \dfrac{4}{5}=\dfrac{8}{10}\)

Vậy \(\dfrac{2}{5}< \dfrac{8}{10}\)

`40/35= 8/7`

`8=8->40/35=8/7`

\(\frac{16}{48}=\frac{16:16}{48:16}=\frac{1}{3}\);\(\frac{14}{35}=\frac{14:7}{35:7}=\frac{2}{5}\)

\(\frac{1}{3}=\frac{1\cdot5}{3\cdot5}=\frac{5}{15}\);    \(\frac{2}{5}=\frac{2\cdot3}{5\cdot3}=\frac{6}{15}\)

Cách 1 :

Rút gọn : 12/16 = 3/4  ,   28/21 = 4/3

So sánh : 12/16 < 28/21

Cách 2 :

So sánh Vì 12/16 < 1 và 28/ 21 > 1 nên 28/21 > 12/16

TL

12/6=2

28/21=4/3

NHÉ

HT

`6/12=(6:3)/(12:3)=2/4`

có `2<3` nên `2/4<3/4`

`=> 6/12<3/4`

1+1=?

16/48=1/3

34/51=2/3

Vì: 2>1 nên: 1/3<2/3

=>16/48<34/51

Vậy:16/48<34/51

Cảm ơn nha

UKM NO PROBLEEM

\(\dfrac{5}{7}=\dfrac{5\times3}{7\times3}=\dfrac{15}{21}\)

Vì \(\dfrac{15}{21}< \dfrac{17}{21}\Rightarrow\dfrac{5}{7}< \dfrac{17}{21}\)

5/7 đã tối giản

17/21 cũng đã tối giản

5/7=15/21

mà 17/21>15/21

=>17/21>5/7