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a; \(\dfrac{1919}{2121}\) = \(\dfrac{1919:101}{2121:101}\) = \(\dfrac{19}{21}\)
b; 17 x 5 - \(\dfrac{17}{120}\) - 103
= 85 - \(\dfrac{17}{120}\) - 103
= \(\dfrac{10200}{120}\) - \(\dfrac{17}{120}\) - \(\dfrac{12360}{120}\)
= \(\dfrac{10183}{120}\) - \(\dfrac{12360}{120}\)
= \(\dfrac{-2177}{120}\)
c; 2929 - \(\dfrac{101}{2\times1919}\) + 404
= 2929 - \(\dfrac{1}{38}\) + 404
= \(\dfrac{111302}{38}\) - \(\dfrac{1}{38}\) + \(\dfrac{15352}{38}\)
= \(\dfrac{111301}{38}\) + \(\dfrac{15352}{38}\)
= \(\dfrac{126653}{38}\)
Ta có: \(B=\frac{101+102+103}{102+103+104}=\frac{101}{102+103+104}+\frac{102}{102+103+104}+\frac{103}{102+103+104}\)
Ta thấy: \(\frac{101}{102}>\frac{101}{102+103+104}\)
\(\frac{102}{103}>\frac{102}{102+103+104}\)
\(\frac{103}{104}>\frac{103}{102+103+104}\)
\(\Rightarrow A=\frac{101}{102}+\frac{102}{103}+\frac{103}{104}>\frac{101}{102+103+104}+\frac{102}{102+103+104}+\frac{103}{102+103+104}=\frac{101+102+103}{102+103+104}=B\)
Vậy....
\(B=\frac{101+102+103}{102+103+104}=\frac{101}{102+103+104}+\frac{102}{102+103+104}+\frac{103}{102+103+104}\)
Ta có: \(\frac{101}{102}>\frac{101}{102+103+104}\)
\(\frac{102}{103}>\frac{102}{102+103+104}\)
\(\frac{103}{104}>\frac{103}{102+103+104}\)
\(\Rightarrow A=\frac{101}{102}+\frac{102}{103}+\frac{103}{104}>\frac{101}{102+103+104}+\frac{102}{102+103+104}+\frac{103}{102+103+104}=\frac{101+102+103}{102+103+104}=B\)Vậy....
Ta có :\(\frac{101}{102}>\frac{101}{102+103+104}\)
\(\frac{102}{103}>\frac{102}{102+103+104}\)
\(\frac{103}{104}>\frac{103}{102+103+104}\)
Do đó:\(\frac{101}{102}+\frac{102}{103}+\frac{103}{104}>\frac{101+102+103}{102+103+104}\)
Vậy A>B
\(A=2,970871956;B=\frac{102}{103}\)
\(A>2>1>B\)
\(\Rightarrow A>B\)
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Ta có: \(B=\frac{101+102+103}{102+103+104}=\frac{101}{102+103+101}+\frac{102}{102+103+104}+\)\(\frac{103}{102+103+104}\)
Vì: \(\frac{101}{102}>\frac{101}{102+103+104}\)
\(\frac{102}{103}>\frac{102}{102+103+104}\)
\(\frac{103}{104}>\frac{103}{102+103+104}\)
\(\Rightarrow A>B\)
Vậy A > B
B nha bạn
110/101
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