a: \(\frac{23}{35}<\frac{23,1}{35}=0,66\)

\(0,66=\frac{20,46}{31}<\frac{21}{31}\)

Do đó: \(\frac{23}{35}<\frac{21}{31}\)

b: \(\frac{-17}{24}<\frac{-16}{24}=\frac{-2}{3}\)

\(\frac{-2}{3}=\frac{-13}{19,5}<\frac{-13}{28}\)

Do đó: \(-\frac{17}{24}<-\frac{13}{28}\)

c: \(\frac{9}{16}>\frac{8}{16}=\frac12;\frac12=\frac{12}{24}>\frac{11}{24}\)

Do đó: \(\frac{9}{16}>\frac{11}{24}\)

a) \(\dfrac{252525}{666666}=\dfrac{25.10101}{66.10101}=\dfrac{25}{66}\)

⇒\(\dfrac{25}{66}=\dfrac{252525}{666666}\)

b: \(\dfrac{23}{24}=1-\dfrac{1}{24}\)

\(\dfrac{24}{25}=1-\dfrac{1}{25}\)

mà \(-\dfrac{1}{24}>-\dfrac{1}{25}\)

nên \(\dfrac{23}{24}>\dfrac{24}{25}\)

a: \(\dfrac{25}{66}=\dfrac{252525}{666666}\)

b: \(\dfrac{23}{24}=1-\dfrac{1}{24}\)

\(\dfrac{24}{25}=1-\dfrac{1}{25}\)

mà \(-\dfrac{1}{24}< -\dfrac{1}{25}\)

nên \(\dfrac{23}{24}< \dfrac{24}{25}\)

Cảm ơn anh ạ

A) Ta có: 

\(\dfrac{12}{13}=\dfrac{13}{13}-\dfrac{1}{13}=1-\dfrac{1}{13}\)

\(\dfrac{13}{14}=\dfrac{14}{14}-\dfrac{1}{14}=1-\dfrac{1}{14}\)

Mà \(1-\dfrac{1}{13}< -\dfrac{1}{14}\)

\(\Rightarrow\dfrac{12}{13}< \dfrac{13}{14}\)

B) Ta có:

\(\dfrac{125}{251}=\dfrac{251}{251}-\dfrac{126}{251}=1-\dfrac{126}{251}\)

\(\dfrac{127}{253}=\dfrac{253}{253}-\dfrac{126}{253}=1-\dfrac{126}{253}\)

Mà: \(1-\dfrac{126}{251}< 1-\dfrac{126}{253}\)

\(\Rightarrow\dfrac{125}{251}< \dfrac{127}{253}\)

a) có 12/48 < 13/48, 13/48 < 13/47 => 12/48 < 13/47 b) có 415/395 > 1 , 572/581 <1 => 415/395 > 572/581

_{Làm ơn giúp mình với !}

1. 12/18 < 13/17
2. 16/51 < 31/90

a) có 12/48 < 13/48, 13/48 < 13/47
=> 12/48 < 13/47
b) có 415/395 > 1 , 572/581 <1
=> 415/395 > 572/581

ghi cả cách giải  nha

3tk

Ta có : \(\frac{12}{13}\)= \(1-\frac{1}{13}\)

             \(\frac{13}{14}\)= \(1-\frac{1}{14}\)

Vì \(\frac{1}{13}\)\(>\frac{1}{14}\)nên \(\frac{12}{13}\)\(< \frac{13}{14}\)

Hok tốt !