So sánh 34/35 và 115/117 hộ mình với
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ta có: \(\frac{31+32+35}{34}=\frac{31}{34}+\frac{32}{34}+\frac{35}{34}.\)
mà \(\frac{31}{32}>\frac{31}{34};\frac{32}{33}>\frac{32}{34}\)
\(\Rightarrow\frac{31}{32}+\frac{32}{33}+\frac{35}{34}>\frac{31}{34}+\frac{32}{34}+\frac{35}{34}=\frac{31+32+35}{34}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
-22 /35 và -103/117
ta có
-22/35=-2574/4094
-103/117=-3605/4094
=>-2574/4094>-3605/4094
=>-22 /35 > -103/117
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ta có p/s trung gian là: 34/180
Ta có: 34/35 > 34/180
34/180 > 175/180
=> 34/35 > 175/180
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a. Ta có:
\(\frac{33}{34}=1-\frac{1}{34}\)
\(\frac{34}{35}=1-\frac{1}{35}\)
Do \(\frac{1}{34}>\frac{1}{35}\Rightarrow1-\frac{1}{34}< 1-\frac{1}{35}\)
\(\Leftrightarrow\frac{33}{34}< \frac{34}{35}\)
\(\Rightarrow\frac{-33}{34}>\frac{-34}{35}.\)
Ta có :
\(1-\frac{1}{34}=\frac{33}{34}\)
\(1-\frac{1}{35}=\frac{34}{35}\)
Do \(\frac{1}{34}>\frac{1}{35}\)
\(\Rightarrow1-\frac{1}{34}< 1-\frac{1}{35}\)
\(\Rightarrow\frac{33}{34}< \frac{34}{35}\)
\(\Rightarrow\frac{-33}{34}>-\frac{34}{35}\)
Vậy \(-\frac{33}{34}>-\frac{34}{35}\)
~ Ủng hộ nhé
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a, \(\sqrt{15}+\sqrt{8}< \sqrt{16}+\sqrt{9}=4+3=7\)
\(\Rightarrow\sqrt{15}+\sqrt{8}< 7\)
b, \(\sqrt{10}+\sqrt{17}+1>\sqrt{9}+\sqrt{16}+1=3+4+1=8\)
\(\sqrt{61}< \sqrt{64}=8\)
\(\Rightarrow\sqrt{10}+\sqrt{17}+1>\sqrt{61}\)
c, \(\sqrt{10}+\sqrt{5}+1>\sqrt{9}+\sqrt{4}+1=3+2+1=6\)
\(\sqrt{35}< \sqrt{36}=6\)
\(\Rightarrow\sqrt{10}+\sqrt{5}+1>\sqrt{35}\)
\(\dfrac{34}{35}=\dfrac{34\times117}{35\times117}=\dfrac{3978}{4095}\)
\(\dfrac{115}{117}=\dfrac{115\times35}{117\times35}=\dfrac{4025}{4095}\)
MSC: `4095`
\(\dfrac{34}{35}=\dfrac{34\times117}{35\times117}=\dfrac{3978}{4095};\dfrac{115}{117}=\dfrac{115\times35}{117\times35}=\dfrac{4025}{4095}\)
\(\dfrac{3978}{4095}< \dfrac{4025}{4095}\Rightarrow\dfrac{34}{35}< \dfrac{115}{117}\)