Tính nhanh:
-5/11.(2222/1010 + 2222/1515 + 2222/2121 + 2222/2828 +2222/3636 + 2222/4545
Các bn giúp mik bài tập này vs chiều nay mik phải nộp rồi . Các bn làm đc phần nào thì lm nhé .Thank nhiều
Bài 1 :Tính Nhanh
a) \(\frac{-5}{11}.\left(\frac{2222}{1010}+\frac{2222}{1515}+\frac{2222}{2121}+\frac{2222}{2828}+\frac{2222}{3636}+\frac{2222}{4545}\right)\)
b) \(\frac{1}{100}-\frac{1}{50.48}-\frac{1}{48.46}-...-\frac{1}{4.2}\)
c) \(\frac{\frac{1}{2}-\frac{1}{3}}{\frac{1}{3}-\frac{1}{4}}.\frac{\frac{1}{4}-\frac{1}{5}}{\frac{1}{5}-\frac{1}{6}}.....\frac{\frac{1}{98}-\frac{1}{99}}{\frac{1}{99}-\frac{1}{100}}\)
1010 + 1111 +1212 + 1313 +1414 + 1515
2020 + 2121 + 2222 + 2323 + 2424 + 2525
\(\frac{1010+1111+1212+1313+1414+1515}{2020+2121+2222+2323+2424+2525}=\frac{10\times101+11\times101+12\times101+13\times101+14\times101+15\times101}{20\times101+21\times101+22\times101+23\times101+24\times101+25\times101}=\frac{101\times\left(10+11+12+13+14+15\right)}{101\times\left(20+21+22+23+24+25\right)}\)
\(=\frac{10+11+12+13+14+15}{20+21+22+23+24+25}=\frac{75}{135}=\frac{5}{9}\)
1010+1111+1212+1313+1414+1515= 7575
2020+2121+2222+2323+2424+2525= 13635
Tính nhanh:1414+1515+1616+1717+1818+1919/2020+2121+2222+2323+2424+2525
1414+1515+1616+1717+1818+1919/2020+2121+2222+2323+2424+2525=2525 nhé bạn
SO sánh 1414+1515+1616+1717+1818+1919 với 11
2020+2121+2222+2323+2424+2525 15
Vì 14/14 = 1; 15/15 = 1 ; ....
⇔ Tổng trên là 6 < 11.
Vì 20/20 = 1 ; 21/21 = 1 ; ...
⇒ Tổng trên là 6 < 15.
1111+1212+1313+1414+1515+1616 / 2020+2121+2222+2323+2424+2525 =?
\(\frac{2323+1313+1414+1515+1616}{4141+2222+2323+2424+2525}\)
=\(\frac{8181}{13635}\)
1414+1515+1616+1717+1818+1919/2020+2121+2222+2323+2424+2525
Đề bài kiểu gì vậy?VIết rõ hơn đi
1414+1515+1616+1717+1818+1919
2020+2121+2222+2323+2424+2525
tính nhanh
\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)
\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)
\(=\frac{101\times\left(14+15+16+17+18+19\right)}{101\times\left(20+21+22+23+24+25\right)}\)
\(=\frac{14+15+16+17+18+19}{20+21+22+23+24+25}\)
+) Tử số :
Số các số hạng là : ( 19 - 14 ) : 1 + 1 = 6 ( số )
Tổng là : ( 19 + 14 ) x 6 : 2 = 99
+) Mẫu số :
Số các số hạng là : ( 25 - 20 ) : 1 + 1 = 6 ( số )
Tổng là : ( 25 + 20 ) x 6 : 2 = 135
\(\Leftrightarrow\frac{99}{135}=\frac{11}{15}\)
1414+1515+1616+1717+1818+1919/2020+2121+2222+2323+2424+2525
1414+1515+1616+1717+1818+1919 phần 2000+2121+2222+2323+2424+2525
\(\frac{1414+1515+1616+1717+1818+1919}{2000+2121+2222+2323+2424+2525}\)
\(=\frac{101.\left(14+15+16+17+18+19\right)}{101.\left(20+21+22+23+24+25\right)}\)
\(\frac{14+15+16+17+18+19}{20+21+22+23+24+25}=\frac{99}{135}=\frac{11}{15}\)
L_I_K_E NHA