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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(S=\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right).....\left(1-\dfrac{1}{2022}\right)\left(1-\dfrac{1}{2023}\right)\)
\(=\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}....\dfrac{2022}{2023}\)
\(=\dfrac{1.2.3....2022}{2.3.4....2023}\)
\(=\dfrac{1}{2023}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1414+1515+1616+1717+1818+1919/2020+2121+2222+2323+2424+2525
=14.101+15.101+16.101+17.101+18.101+19.101/20.101+21.101+22.101+23.101+24.101+25.101
=14+15+16+17+18+19/20+21+22+23+24+25
=99/135
=11/15
![](https://rs.olm.vn/images/avt/0.png?1311)
So sánh 6262 / 7878 và 2424 / 3636
Vì 6262/7878 > 2424/3636
Nên 1414 + 1515 + 1616 + 1717 / 1818 + 1919 + 2020 + 2121 > 2424/3636
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1212}{3131}=\frac{1212:101}{3131:101}=\frac{12}{31}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a ) − 1212 − 2424 = ( − 1212 ) : ( − 1212 ) ( − 2424 ) : ( − 1212 ) = 1 2
b ) 120120 − 240240 = 120120 : ( − 120120 ) − 240240 : ( − 120120 ) = − 1 2
c) 1313 − 1414 = 1313 : ( − 101 ) − 1414 : ( − 101 ) = − 13 14
tớ mới lớp 4 à
thế thôi