a) Ta có :

\(\frac{19}{23}=\frac{19.101}{23.101}=\frac{1919}{2323}\)

\(\Rightarrow\frac{19}{23}=\frac{1919}{2323}\)

b) Ta có

\(\frac{10}{60}=\frac{10.10101}{60.10101}=\frac{101010}{606060}\)

\(\Rightarrow\frac{10}{60}=\frac{101010}{606060}\)

c) Ta có

\(\frac{123}{124}=\frac{123.1001}{124.1001}=\frac{123123}{124124}\)

\(\Rightarrow\frac{123}{124}=\frac{123123}{124124}\)

Xét :

\(\frac{122}{123}-1=-\frac{1}{123}\)

\(\frac{123}{124}-1=-\frac{1}{124}\)

Vì \(-\frac{1}{123}< -\frac{1}{124}\)

\(\Rightarrow\frac{122}{123}< \frac{123}{124}\)

\(\Rightarrow\frac{122}{123}< \frac{123123}{124124}\)

a)Ta có

1919/2323= 19.101/23.101=19/23

Mà : 19/23 = 19/23

Nên :19/23 = 19.101/23.101

Suy ra : 19/23 = 1919/2323

b) Ta có :

101010/606060=10.10101/60.10101=10/60

Mà : 10/60 = 10/60

Nên : 10/60 = 10.10101/60.10101

Suy ra : 10/60 = 101010/606060

c) Ta có :

123123/124124=123.1001/124.1001=123/124

Mà : 123/124 = 123/124

Nên: 123/124= 123.1001/124.1001

Từ đó ta suy ra : 123/124 = 123123/124124

19/23 = 1919/2323

101010/606060 = 10/60

122/123 < 123123/124124

bằng nhau