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\(\frac{2003\cdot1999-2003\cdot999}{2004\cdot999+1004}\)
\(=\frac{2003\cdot\left(1999-999\right)}{2004\cdot\left(999+1\right)}\)
\(=\frac{2003\cdot1000}{2004\cdot1000}\)
\(=\frac{2003}{2004}\)
\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}=\frac{32}{64}+\frac{16}{64}+\frac{8}{64}+\frac{4}{64}+\frac{2}{32}+\frac{1}{64}\)
\(\frac{32+16+8+4+2}{64}=\frac{62}{64}=\frac{31}{32}\)
Tk mh nhé , mơn nhìu !!!
~ HOK TỐT ~
\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)\(+\frac{1}{64}\)
= 32/64 + 16/64 + 8/64 + 4/64 + 2/64 + 1/64
= 63/64
Đặt \(A=\frac{7}{1\cdot5}+\frac{7}{5\cdot9}+\frac{7}{9\cdot13}+\frac{7}{13\cdot17}+\frac{7}{17\cdot21}\)
\(\frac{4}{7}A=\frac{4}{7}\left(\frac{7}{1\cdot5}+\frac{7}{5\cdot9}+\frac{7}{9\cdot13}+\frac{7}{13\cdot17}+\frac{7}{17\cdot21}\right)\)
\(\frac{4}{7}A=\frac{4}{1\cdot5}+\frac{4}{5\cdot9}+\frac{4}{9\cdot13}+\frac{4}{13\cdot17}+\frac{4}{17\cdot21}\)
\(\frac{4}{7}A=1-\frac{1}{5}+\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+\frac{1}{17}-\frac{1}{21}\)
\(\frac{4}{7}A=1-\frac{1}{21}\)
\(\frac{4}{7}A=\frac{20}{21}\)
\(A=\frac{20}{21}:\frac{4}{7}=\frac{20}{21}\cdot\frac{7}{4}=\frac{5}{3}\)
Đặt biểu thức trên là A
\(\frac{4xA}{7}=\frac{4}{1x5}+\frac{4}{5x9}+\frac{4}{9x13}+\frac{4}{13x17}+\frac{4}{17x21}\)
\(\frac{4xA}{7}=\frac{5-1}{1x5}+\frac{9-5}{5x9}+\frac{13-9}{9x13}+\frac{17-13}{13x17}+\frac{21-17}{17x21}\)
\(\frac{4xA}{7}=1-\frac{1}{5}+\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+\frac{1}{17}-\frac{1}{21}\)
\(\frac{4xA}{7}=1-\frac{1}{21}=\frac{20}{21}\Rightarrow A=\frac{20}{21}.\frac{7}{4}=\frac{5}{3}\)
-Bạn eii :) K cho p / s tính đc ạ ?
Viết đề đi bn eii :D Đề thiếu kìa :)
#Bổ sung đề đi
Câu 1
Ta có \(\frac{119x83-183}{120x83-266}=\frac{119x83-183}{119x83+83-266}=\frac{119x83-183}{119x83-183}=1\)
\(\frac{3}{5}:\frac{7}{9}\times\frac{7:9}{3:5}+1999\)
\(=\frac{3}{5}\times\frac{9}{7}\times\frac{\frac{7}{9}}{\frac{3}{5}}+1999\)
\(=\frac{3}{5}\times\frac{9}{7}\times\frac{7}{9}:\frac{3}{5}+1999\)
\(=\frac{3}{5}\times\frac{9}{7}\times\frac{7}{9}\times\frac{5}{3}+1999\)
\(=\frac{3\times9\times7\times5}{5\times7\times9\times3}+1999\)
\(=1+1999\)
\(=2000\)
Chúc bn học tốt !!!
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{7}+...+\frac{1}{32}-\frac{1}{81}\)
\(=1-\frac{1}{81}\)
\(=\frac{80}{81}\)
\(\frac{2003x1999-2003x999}{2004x999x1994}=\frac{2003x\left(1999-999\right)}{2004x999x1994}\)
\(=\frac{2003x1000}{2004x999x1994}=\frac{1}{1994x}\)
\(\Rightarrow❤️✔️✨♕✨✔️❤️\Leftarrow\)
\(\text{Bài làm :}\)
\(\frac{2003\cdot1999-2003\cdot999}{2004\cdot999\cdot1994}=\frac{2003\cdot1999}{999\cdot1994}=\frac{4003997}{1992006}\)
\(\text{Chúc bạn học tốt !}\)