1/13+3/13.23+3/23.33+....+3/2303.2306
Những câu hỏi liên quan
\(\frac{1}{13}+\frac{3}{13.23}+\frac{3}{23.33}+.......................+\frac{3}{1993.2003}\)
\(=\frac{3}{3.13}+\frac{3}{13.23}+...+\frac{3}{1993.2003}\)
\(=\frac{1}{10}.\left(1-\frac{3}{13}+\frac{3}{13}-\frac{3}{23}+...+\frac{3}{1993}-\frac{3}{2003}\right)\)
\(=\frac{1}{10}.\left(1-\frac{3}{2003}\right)\)
\(=\frac{1}{10}.\frac{2000}{2003}\)
\(=\frac{200}{2003}\)
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Đặt \(A=\frac{1}{13}+\frac{3}{13.23}+\frac{3}{23.33}+...+\frac{3}{1993.2003}\)
\(\Rightarrow A=\frac{3}{3.13}+\frac{3}{13.23}+\frac{3}{23.33}+...+\frac{3}{1993.2003}\)
\(\Rightarrow A=3\left(\frac{1}{3.13}+\frac{1}{13.23}+\frac{1}{23.33}+...+\frac{1}{1993.2003}\right)\)
\(\Rightarrow A=\frac{3}{10}\left(\frac{10}{3.13}+\frac{10}{13.23}+\frac{10}{23.33}+...+\frac{10}{1993.2003}\right)\)
\(\Rightarrow A=\frac{3}{10}\left(\frac{1}{3}-\frac{1}{13}+\frac{1}{13}-\frac{1}{23}+\frac{1}{23}-\frac{1}{33}+...+\frac{1}{1993}-\frac{1}{2003}\right)\)
\(\Rightarrow A=\frac{3}{10}\left(\frac{1}{3}-\frac{1}{2003}\right)\)
\(\Rightarrow A=\frac{3}{10}.\left(\frac{2003}{6009}-\frac{3}{6009}\right)\)
\(\Rightarrow A=\frac{3}{10}.\frac{2000}{6009}\)
\(\Rightarrow A=\frac{200}{2003}\)
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Bài 1 Tính nhanh
A:75-6/13+3/17-3/19|275--22/13+11/17-11/19
B:1/13+3/13.23+3/23.33+3/33.43+...+3/1993.2003
C=-1/2003.2002-1/2002.2001-1/2001.2000-...-1/3.2-1/2.1
Tính nhanh:
E = 2/3.5 + 7/5.12 + 9/4.39
F = 1/2003.2002 - 1/2002.2001 - 1/2001.2000 - ..... - 1/3.2 - 1/2.1
H = 1/13 + 3/13.23 + 3/23.33 + ..... + 3/1993.2003
\(E=\frac{2}{3.5}+\frac{7}{5.12}+\frac{9}{4.39}=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{12}+\frac{27}{12.39}=\frac{1}{3}-\frac{1}{12}+\frac{1}{12}-\frac{1}{39}=\frac{1}{3}-\frac{1}{39}=\frac{4}{13}\)
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tính S bằng 1/1.3+3/13.23+3/23.33+...+3/2013.2023
Tính S
1/1.3+3/13.23+3/23.33+...+3/2013.2023
Bài 1 Tính nhanh
A:75-6/13+3/17-3/19|275--22/13+11/17-11/19
B:1/13+3/13.23+3/23.33+3/33.43+...+3/1993.2003
C=-1/2003.2002-1/2002.2001-1/2001.2000-...-1/3.2-1/2.1
D=2/3.5+7/5.12+9/4.39
Bài 1 Tính nhanh
A:75-6/13+3/17-3/19|275--22/13+11/17-11/19
B:1/13+3/13.23+3/23.33+3/33.43+...+3/1993.2003
C=-1/2003.2002-1/2002.2001-1/2001.2000-...-1/3.2-1/2.1
D=2/3.5+7/5.12+9/4.39
Bài 3 Thực hiện phép tính một cách hợp lí
N=\(\frac{1}{13}+\frac{3}{13.23}+\frac{3}{23.33}+...+\frac{3}{1993.2003}\)
\(N=\frac{1}{13}+\frac{3}{13.23}+\frac{3}{23.33}+...+\frac{3}{1993.2003}\)
\(=\frac{3}{3.13}+\frac{3}{13.23}+\frac{3}{23.33}+...+\frac{3}{1993.2003}\)
\(=\frac{3}{10}\left(\frac{10}{3.13}+\frac{10}{13.23}+\frac{10}{23.33}+..+\frac{10}{1993.2003}\right)\)
\(=\frac{3}{10}\left(\frac{1}{3}-\frac{1}{13}+\frac{1}{13}-\frac{1}{23}+\frac{1}{23}-\frac{1}{33}+...+\frac{1}{1993}-\frac{1}{2003}\right)\)
\(=\frac{3}{10}\left(\frac{1}{3}-\frac{1}{2003}\right)=\frac{3}{10}.\frac{2000}{6009}=\frac{200}{2003}\)
\(N=\)\(\frac{1}{13}\)\(+\)\(\frac{3}{13.23}\)\(+\)\(\frac{3}{23.33}\)\(+...+\)\(\frac{3}{1993.2003}\)
\(N=\)\(\frac{1}{13}\)\(+\)\(\left(\frac{3}{13.23}+\frac{3}{23.33}+...+\frac{3}{1993.2003}\right)\)
\(N=\)\(\frac{1}{13}\)\(+\)\(\left[\frac{3}{10}\left(\frac{1}{13.23}+\frac{1}{23.33}+...+\frac{1}{1993.2003}\right)\right]\)
\(N=\)\(\frac{1}{13}\)\(+\)\(\left[\frac{3}{10}\left(\frac{1}{13}-\frac{1}{23}+\frac{1}{23}-\frac{1}{33}+...+\frac{1}{1993}-\frac{1}{2003}\right)\right]\)
\(N=\)\(\frac{1}{13}\)\(+\)\(\left[\frac{3}{10}\left(\frac{1}{13}-\frac{1}{2003}\right)\right]\)
\(N=\)\(\frac{1}{13}\)\(+\)\(\left[\frac{3}{10}.\frac{1990}{26039}\right]\)
\(N=\)\(\frac{1}{13}\)\(+\)\(\frac{597}{26039}\)
\(N=\)\(\frac{200}{2003}\)
dễ vãi lồn làm làm đéo j phá đê
tinh nhanh
N=\(\frac{1}{1.3}+\frac{3}{13.23}+\frac{3}{23.33}+...+\frac{3}{2003.2306}\)