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a: 77/76=1+1/76
84/83=1+1/83
mà 76<83
nên 77/76>84/83
c: \(\dfrac{456}{461}=1-\dfrac{5}{461}\)
2013/2018=1-5/2018
mà 461<2018
nên 456/461<2013/2018
77/76=(76+1)/76=1+(1/76)
84/83=(83+1)/83=1+(1/83)
ta có 1/76>1/83
=>77/76>84/83
Vì 77 > 76 > 0
=> 77/76 > 1
=> 77/76 > 77+7/76+7 = 84/83
Vậy 77/76 > 84/83
Tk mk nha
a; \(\dfrac{17}{76}\) < 1
\(\dfrac{84}{83}\) > 1
\(\dfrac{17}{76}\) < 1 < \(\dfrac{84}{83}\)
Vậy \(\dfrac{17}{76}\) < \(\dfrac{84}{83}\)
b; \(\dfrac{12}{47}\) > \(\dfrac{12}{48}\) = \(\dfrac{1}{4}\)
\(\dfrac{19}{77}\) < \(\dfrac{19}{76}\) = \(\dfrac{1}{4}\)
\(\dfrac{12}{47}\) > \(\dfrac{1}{4}\) > \(\dfrac{19}{77}\)
Vậy \(\dfrac{12}{47}\) > \(\dfrac{19}{77}\)
3.13579/34567 = 40737/34567 = 34567+6170/34567
3.13580/34569 = 40740/34569 = 34569+6171/34569
vì : 34567+6170/34567 < 34569+6171/34569
nên: 3.13579/34567 < 3.13580/34569
vậy: 13579/34567 < 13580/34569
a: \(\dfrac{12}{49}< \dfrac{13}{49}< \dfrac{13}{47}\)
b: \(\dfrac{12}{47}>\dfrac{19}{47}>\dfrac{19}{77}\)
Ta có: \(\frac{77}{76}=\frac{76+1}{76}=\frac{76}{76}+\frac{1}{76}=1+\frac{1}{76}\)
\(\frac{84}{83}=\frac{83+1}{83}=\frac{83}{83}+\frac{1}{83}=1+\frac{1}{83}\)
Vì \(\frac{1}{83}< \frac{1}{76}\Rightarrow1+\frac{1}{83}< 1+\frac{1}{76}\Rightarrow\frac{84}{83}< \frac{77}{76}\)
Giải:
Ta gọi:
A=101/102+102/103
B=101+102/102+103
Ta có:
B=101+102/102+103
B=101/102+103+102/102+103
Vì 101/102+103<101/102
102/102+103<102/103
nên A>B
Chúc bạn học tốt!
`(1/243)^9 = [1/(3^5)]^9 = [(1/3)^5]^9=(1/3)^13`
Vì: `1/3 > 1/83`
`=> (1/3)^13 > 1/(83)^13`.
$\frac{77}{76}=1+\frac{1}{76}$
$\frac{84}{83}=1+\frac{1}{83}$
So sánh phân số $\frac{1}{76}$ và $\frac{1}{83}$
Vì $76<83$ nên $\frac{1}{76}>\frac{1}{83}$
$\Rightarrow 1+\frac{1}{76}>1+\frac{1}{83}$
Vậy $\frac{77}{76}>\frac{84}{83}$