Ta có : \(\dfrac{200+201}{201+202}=\dfrac{200}{201+202}+\dfrac{201}{201+202}\)
Mà \(\dfrac{200}{201}>\dfrac{200}{201+202}\) ; \(\dfrac{201}{202}>\dfrac{201}{201+202}\)
\(\Rightarrow\dfrac{200}{201}+\dfrac{201}{202}>\dfrac{200+201}{201+202}\)
Ta có \(\dfrac{200+201}{201+202}=\dfrac{200}{201+202}+\dfrac{201}{201+202}\)
Mà \(\dfrac{200}{201}>\dfrac{200}{201+202}\) ; \(\dfrac{201}{202}>\dfrac{201}{201+202}\)
\(\Rightarrow\dfrac{200}{201}+\dfrac{201}{202}>\dfrac{200+201}{201+202}\)
200/201+201/202 >200+201/201+202
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200/201+201/202>200+201/+202
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