Ta có:

\(\frac{1234.1235-1}{1234.1235}=\frac{1234.1235}{1234.1235}-\frac{1}{1234.1235}=1-\frac{1}{1234.1235}\)

\(\frac{1235.1236-1}{1235.1236}=\frac{1235.1236}{1235.1236}-\frac{1}{1235.1236}=1-\frac{1}{1235.1236}\)

Vì 1/1234.1235 > 1/1235.1236

=> 1 - 1/1234.1235 < 1 - 1/1235.1236

Vậy .....

Ta có: \(\frac{1234.1235-1}{1234.1235}=\frac{1234.1235}{1234.1235}-\frac{1}{1234.1235}\)

= \(1-\frac{1}{1234.1235}\)

Lại có: \(\frac{1235.1236-1}{1235.1236}=\frac{1235.1236}{1235.1236}-\frac{1}{1235.1236}\)

= \(1-\frac{1}{1235.1236}\)

Vì 1234.1235 < 1235.1236 nên \(\frac{1}{1234.1235}>\frac{1}{1235.1236}\)

=> \(\frac{1234.1235-1}{1234.1235}>\frac{1235.1236-1}{1235.1236}\)

(1234.1235-1)/(1234.1235)=1-1/(1234.1235)

(1235.1236-1)/(1235.1236)=1-1/(1235.1236)

Vì 1/(1234.1235)>1/(1235.1236) nên 1-1/(1234.1235)<1-1/(1235.1236) hay (1234.1235-1)/(1234.1235) < (1235.1236-1)/(1235.1236)

\(\frac{1234\times1235-1}{1234\times1235}=1-\frac{1}{1234\times1235};\frac{1235\times1236-1}{1235\times1236}=1-\frac{1}{1235\times1236}=1-\frac{1}{1235\times1234+1235\times2}\)

Vì 1234*1235 < 1235*1234+1235*2 nên \(\frac{1}{1234\times1235}>\frac{1}{1235\times1234+1235\times2}\).

Do đó \(1-\frac{1}{1234\times1235}

\(\frac{1234\times1235-1}{1234\times1235}\&\frac{1235\times1236-1}{1235\times1236}\)

Đề vậy hả

1234.1235 < 1235.1236

VT = 1 - \(\frac{1}{1234.1235}\)

VP = 1 - \(\frac{1}{1235.1236}\)

=> VT < VP

=> \(\frac{1234.1235-1}{1234.1235}\) < \(\frac{1235.1236-1}{1235.1236}\)

b) Ta có:

\(\frac{1234.1235-1}{1234.1235}=1-\frac{1}{1234.1235}\)

\(\frac{1235.1236-1}{1235.1236}=1-\frac{1}{1235.1236}\)

DO \(\frac{1}{1234.1235}>\frac{1}{1235.1236}\)=> \(-\frac{1}{1234.1235}< -\frac{1}{1235.1236}\)

=> \(\frac{1234.1235-1}{1234.1235}< \frac{1235.1236-1}{1235.1236}\)

a) Ta có: 

\(-\frac{31}{32}< 0< \frac{31317}{32327}\)

b) Ta có:

\(1-\frac{1234.1235-1}{1234.1235}=\frac{1}{1234.1235}\)

\(1-\frac{1235.1236-1}{1235.1236}=\frac{1}{1235.1236}\)

Mà \(\frac{1}{1234.1235}>\frac{1}{1235.1236}\)

\(\Rightarrow\frac{1234.1235-1}{1234.1235}< \frac{1235.1236-1}{1235.1236}\)

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