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Ta có: \(\dfrac{1}{4}=\dfrac{10}{40}=\dfrac{1}{40}+\dfrac{1}{40}+\dfrac{1}{40}+\dfrac{1}{40}+\dfrac{1}{40}+\dfrac{1}{40}+\dfrac{1}{40}+\dfrac{1}{40}+\dfrac{1}{40}+\dfrac{1}{40}\)
Mà \(\dfrac{1}{31}>\dfrac{1}{40}\)
\(\dfrac{1}{32}>\dfrac{1}{40}\)
\(\dfrac{1}{33}>\dfrac{1}{40}\)
\(\dfrac{1}{34}>\dfrac{1}{40}\)
\(\dfrac{1}{35}>\dfrac{1}{40}\)
\(\dfrac{1}{36}>\dfrac{1}{40}\)
\(\dfrac{1}{37}>\dfrac{1}{40}\)
\(\dfrac{1}{38}>\dfrac{1}{40}\)
\(\dfrac{1}{39}>\dfrac{1}{40}\)
\(\Rightarrow\) \(\dfrac{1}{31}+\dfrac{1}{32}+\dfrac{1}{33}+...+\dfrac{1}{39}+\dfrac{1}{40}>\dfrac{10}{40}=\dfrac{1}{4}\)
Vậy \(S>\dfrac{1}{4}\)
Ta có :
\(1-\frac{38}{133}=\frac{133}{133}-\frac{38}{133}=\frac{95}{133}=\frac{5}{7}\)
\(1-\frac{129}{344}=\frac{344}{344}-\frac{129}{344}=\frac{215}{344}=\frac{5}{8}\)
Vì \(\frac{5}{7}>\frac{5}{8}\) nên \(\frac{38}{133}< \frac{129}{344}\)
\(\Rightarrow\)\(\frac{38}{-133}>\frac{-129}{344}\)
Vậy \(\frac{38}{-133}>\frac{-129}{344}\)
A = 3738+5/3739+5 < 3738+5+32 / 3739+5+32
= 3738+37 / 3739+37
= 37(3737+1) / 37(3738+1)
= 3737 + 1 / 3738+1 = B
=> A < B nha!
Ai k mk mk k lại !!
A)\(\dfrac{-33}{-44}\) và \(\dfrac{-42}{-56}\) ta có: -33 x -56=1848 -44 x -42 =1848 \(\Rightarrow\) -33 x-56 = -44 x -42 \(\Rightarrow\) \(\dfrac{-33}{-44}=\dfrac{-42}{-56}\) 19/-38 và -24/96 ta có : 19 x -24 = -456 -38 x 96=-3648 \(\Rightarrow\) 19 x -24 \(\ne\) -38 x 96 \(\Rightarrow\) 19/-38 \(\ne\) -24 / 96
ta có \(\frac{22}{7}=\frac{242}{77}\)
\(\frac{34}{11}=\frac{238}{77}\)
mà 242>238
\(\Rightarrow\frac{22}{7}>\frac{34}{11}\)
nhớ tk nha bạn
Ta có :
22/7=242/77
34/11=238/77
vì 242>238
=> 242/77>238/77
=>22/7>34/11