Ta có : \(\frac{124124}{125125}=\frac{124124:1001}{125125:1001}=\frac{124}{125}\)
\(\frac{123}{124}=1-\frac{1}{124}\); \(\frac{124}{125}=1-\frac{1}{125}\)
Vì 1/124 < 1/125 => 123/124 > 123/125 => 123/124 > 124124/125125
ta có: \(\frac{124124}{125125}=\frac{124}{125}\)
Lại có: \(1-\frac{123}{124}=\frac{1}{124};1-\frac{124}{125}=\frac{1}{125}\)
\(\Rightarrow\frac{1}{124}>\frac{1}{125}\Rightarrow1-\frac{123}{124}>1-\frac{124}{125}\)
\(\Rightarrow\frac{123}{124}< \frac{124}{125}\Rightarrow\frac{123}{124}< \frac{124124}{125125}\)
So sánh 2 phân số : 123 / 124 và 124124 / 125125
124124 / 125125 = 124 / 125
123 / 124 = 1 - 123 / 124 = 1/124
124 / 125 = 1 - 124 / 125 = 1/125
Vì 1/ 124 > 1/125 => 123/124 > 124124/125125
Vậy 123/124 > 124124/125125
Ta co 124124/125125=124/125
co phan so trung gian 123/125
ma 123/124>123/125 (1)
va 124/125<124/125 (2)
Tu (1)va(2) =>123/124<124/125
Vay 123/124<124124/125125
L-I-K-E M-A-T-H