Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
1/6 + 2/15 + 4/15 + 2/99 + 9/220 + 10/600
=( 1/6 + 1/60) + (2/15 + 4/15) + 2/99 + 9/220
=11/60 + 2/5 + 11/180
=7/12 + 11/180
=29/45
\(=\left(\frac{1}{6}+\frac{1}{60}\right)+\left(\frac{2}{15}+\frac{4}{15}\right)+\frac{2}{99}+\frac{9}{220}\)
\(=\frac{11}{60}+\frac{2}{5}+\frac{11}{180}=?\)
\(=\frac{7}{12}+\frac{11}{180}=?\)
\(=\frac{29}{45}.\)
Bài 1 :
a) 37581 - 9999 = 37581 - 10000 - 1 = 27581 - 1 = 27580
k cho mình nha bạn !
a)37581-9999=37581-(9999+1-1)=37581-(10000+1)=37581-10000-1=27581+1=27582
Dấu chấm là dấu nhân
\(1+\frac{2}{3}+\frac{5}{6}+\frac{9}{10}+...+\frac{44}{45}\)
\(=1+1-\frac{1}{3}+1-\frac{1}{6}+1-\frac{1}{10}+...+1-\frac{1}{45}\)
\(=8-2\cdot\left(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{9\cdot10}\right)\)
\(=8-2\cdot\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\right)\)
\(=8-2\cdot\left(\frac{1}{2}-\frac{1}{10}\right)\)
\(=8-2\cdot\frac{2}{5}\)
\(=8-\frac{4}{5}\)
\(=\frac{36}{5}\)
Đặt \(A=1+\frac{2}{3}+\frac{5}{6}+\frac{9}{10}+\frac{20}{21}+\frac{27}{28}+\frac{35}{36}+\frac{44}{45}\)
\(=1+1-\frac{1}{3}+1-\frac{1}{6}+1-\frac{1}{10}+1-\frac{1}{21}+1-\frac{1}{28}+1-\frac{1}{36}+1-\frac{1}{45}\)
\(=8-\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+\frac{1}{45}\right)\)
\(\Leftrightarrow\frac{1}{2}.A=4-\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\right)\)
\(=4-\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)
\(=4-\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{6}-\frac{1}{10}\right)\)
\(=4-\frac{11}{30}=\frac{109}{30}\)
\(\Rightarrow A=\frac{109}{15}\)
Bạn chép sai đề rồi kìa :V
Đề đúng phải là: 1+1/6 + 2/15 +4/45+2/99 + 9/220 +10/600
=> 1 + 1/2x3 + 2/3x5 + 4/5x9 + 2/9x11 +9/11x20 + 10/20x30
=>1 +1/2 - 1/3 +1/3-1/5+1/5-1/9+1/9-1/11+1/11-1/20+1/20-1/30
=> 1+1/2 -1/30 =7/15+1=22/15