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a/46/9 và 36/7
Vì 46/9-36/7<0
Nên 46/9<36/7
b/17/18 và 2014/2015
Vì 17/18-2014/2015<0
Nên 17/18<2014/2015
a,-5 < 0 < 1/63 => -5 < 1/63
b, 17/35 > 0 > -43/45
c, -18/17 < -1 < -999/1000
d, -3/4 và -19/28
-3/4 = -21/28
vì: -21/28 < -19/28
=> -0,75 < 19/-28
a, Ta có:
\(-5< 0;\dfrac{1}{63}>0\Rightarrow-5< \dfrac{1}{63}\)
b, Ta có:
\(-\dfrac{18}{17}< -1;\dfrac{999}{-1000}>-1\Rightarrow-\dfrac{18}{17}< \dfrac{999}{-1000}\)
c, Ta có:
\(-\dfrac{17}{35}>-\dfrac{1}{2};-\dfrac{43}{85}< -\dfrac{1}{2}\Rightarrow-\dfrac{17}{35}>-\dfrac{43}{85}\)
d, Ta có:
\(-0,76=-\dfrac{19}{25}\)
Vì \(25< 28\Rightarrow\dfrac{19}{25}>\dfrac{19}{28}\Rightarrow-\dfrac{19}{25}< -\dfrac{19}{28}\)
Chúc bạn học tốt!!!
a) Ta có: \(\frac{18}{17}>1>\frac{999}{1000}\)
\(\Rightarrow\frac{18}{17}>\frac{999}{1000}\)\(\Rightarrow\frac{-18}{17}< \frac{-999}{1000}\)
b) Ta có: \(\frac{17}{35}< \frac{17}{34}=\frac{1}{2}=\frac{43}{86}< \frac{43}{85}\)
\(\Rightarrow\frac{17}{35}< \frac{43}{85}\)\(\Rightarrow\frac{-17}{35}>\frac{-43}{85}\)
c) Ta có: \(0,76=\frac{19}{25}>\frac{19}{28}\)
\(\Rightarrow\frac{-19}{25}< \frac{-19}{28}\)\(\Rightarrow-0,76< \frac{-19}{28}\)
\(A=\frac{17^{18}+1}{17^{19}+1}\)
\(17A=\frac{17^{19}+17}{17^{19}+1}=\frac{\left(17^{19}+1\right)+16}{17^{19}+1}=1+\frac{16}{17^{19}+1}\)
\(B=\frac{17^{17}+1}{17^{18}+1}\)
\(17B=\frac{17^{18}+17}{17^{18}+1}=\frac{\left(17^{18}+1\right)+16}{17^{18}+1}=1+\frac{16}{17^{18}+1}\)
\(\text{Vì}\)\(1+\frac{16}{17^{19}+1}< 1+\frac{16}{17^{18}+1}\)
\(\Leftrightarrow17A< 17B\)
\(\Leftrightarrow A< B\)
Trả lời
\(17A=\frac{\left(17^{18}+1\right)17}{17^{19}+1}=\frac{17^{19}+17}{17^{19}+1}=\frac{17^{19}+1+16}{17^{19}+1}=\frac{17^{19}+1}{17^{19}+1}+\frac{16}{17^{19}+1}=1+\frac{16}{17^{19}+1}\)
\(17B=\frac{\left(17^{17}+1\right)17}{17^{18}+1}=\frac{17^{18}+17}{17^{18}+1}=\frac{17^{18}+1+16}{17^{18}+1}=\frac{17^{18}+1}{17^{18}+1}+\frac{16}{17^{18}+1}=1+\frac{16}{17^{18}+1}\)
Vì \(17^{19}+1>17^{18}+1\)
\(\Rightarrow\frac{16}{17^{18}+1}>\frac{16}{17^{19}+1}\)
\(\Rightarrow1+\frac{16}{17^{18}+1}>1+\frac{16}{17^{19}+1}\)
\(\Rightarrow B>A\)