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Kết quả rút gọn lần lượt là: 1 2 ; − 3 8 ; 1 2 ; 2 3 ; 3 2 ; − 15 17
So sánh 6262 / 7878 và 2424 / 3636
Vì 6262/7878 > 2424/3636
Nên 1414 + 1515 + 1616 + 1717 / 1818 + 1919 + 2020 + 2121 > 2424/3636
\(43^{43}-17^{17}\)
\(=43^{40}.43^3-17^{16}.17\)
\(=\overline{.....1}.\overline{.....7}-\overline{.....1}.7\)
\(=\overline{.....7}-\overline{.....7}\)
\(=\overline{.....0⋮}10\)
\(\Rightarrow dpcm\)
\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)
\(=\frac{101\left(14+15+16+17+18+19\right)}{101\left(20+21+22+23+24+25\right)}\)
\(=\frac{\left(19+14\right)\left(19-14+1\right):2}{\left(25+20\right)\left(25-20+1\right):2}\)
=\(\frac{33.6:2}{45.6:2}=\frac{33}{45}=\frac{11}{15}\)
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
1414+1515+1616+1717+1818+1919/2020+2021+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
1515/1717 chia hết cho 101 nha
\(\frac{1515}{1717}=\frac{1515:101}{1717:101}=\frac{15}{17}\)
\(\frac{1515}{1717}=\frac{1515:101}{1717:101}=\frac{15}{17}\)