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(1/2003+1/2004+1/2005) / (2/2003+2/2004+2/2005)
= (1/2003+1/2004+1/2005) / 2(1/2003+1/2004+1/2005)
= 1/2
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\frac{2}{3}+\frac{1}{3}+\frac{1}{15}+\frac{1}{75}+\frac{1}{375}+\frac{1}{1875}\)
\(A=\left(\frac{2}{3}+\frac{1}{3}\right)+\frac{1}{15}+\frac{1}{75}+\frac{1}{375}+\frac{1}{1875}\)
\(A=1+\left(\frac{5}{75}+\frac{1}{75}\right)+\frac{1}{375}+\frac{1}{1875}\)
\(A=1+\frac{6}{75}+\frac{1}{375}+\frac{1}{1875}\)
\(A=1+\left(\frac{150}{1875}+\frac{1}{1875}\right)+\frac{1}{375}\)
\(A=1+\frac{151}{1875}+\frac{1}{375}\)
\(A=1+\left(\frac{151}{1875}+\frac{5}{1875}\right)\)
\(A=1+\frac{156}{1875}\)
\(A=\frac{1875}{1875}+\frac{156}{1875}\)
\(A=\frac{677}{625}\)
\(A=\frac{2}{3}+\frac{1}{3}+\frac{1}{15}+\frac{1}{75}+\frac{1}{375}+\frac{1}{1875}\)
\(\Leftrightarrow A=\left(\frac{2}{3}+\frac{1}{3}\right)+\left(\frac{1}{15}+\frac{1}{75}\right)+\left(\frac{1}{375}+\frac{1}{1875}\right)\)
\(\Leftrightarrow A=1+\left(\frac{5}{75}+\frac{1}{75}\right)+\left(\frac{5}{1875}+\frac{1}{1875}\right)\)
\(\Leftrightarrow A=1+\frac{6}{75}+\frac{6}{1875}\)
\(\Leftrightarrow A=1+\frac{2}{25}+\frac{2}{625}\)
\(\Leftrightarrow A=1+\left(\frac{2}{25}+\frac{2}{625}\right)\)
\(\Leftrightarrow A=1+\left(\frac{50}{625}+\frac{2}{625}\right)\)
\(\Leftrightarrow A=1+\frac{52}{625}\)
\(\Leftrightarrow A=\frac{677}{625}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Đặt \(A=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{128}\)
\(2A=1+\frac{1}{2}+\frac{1}{4}+...+\frac{1}{64}\)
\(2A-A=\left(1+\frac{1}{2}+\frac{1}{4}+...+\frac{1}{64}\right)-\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{128}\right)\)
\(A=1-\frac{1}{128}=\frac{127}{128}\)
Ủng hộ mk nha ^_-
\(2\cdot A=1+\frac{1}{2}+\frac{1}{4}+...+\frac{1}{64}\)
\(A=\left(1+\frac{1}{2}+\frac{1}{4}+...+\frac{1}{64}\right)-\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{128}\right)\)
\(A=1-\frac{1}{128}=\frac{128}{128}-\frac{1}{128}=\frac{127}{128}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bạn thấy những ô phía trên khung đặt câu hỏi hay câu trả lời ko? Bạn vào cái ô công thức Toán ở cạnh ô Tex đó. Ở đó bạn chọn biểu tượng phân số là xong.
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1 tính nhanh: a/ [ 2727/ 3636 + 1212/5454 ] x 9/10 = (3/4 + 2/9) x 9/10
= 3/4 x 9/10 + 2/9 x 9/10
= 27/40 + 1/5
= 27/40 + 8/40
= 7/8
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{75}{100}+\frac{3}{4}x29+75\%x30+0,75x40\)
\(=\frac{3}{4}+\frac{3}{4}x29+\frac{75}{100}x30+\frac{75}{100}x40\)
\(=\frac{3}{4}+\frac{3}{4}x29+\frac{3}{4}x30+\frac{3}{4}x40\)
\(=\frac{3}{4}x\left(1+29+30+40\right)\)
\(=\frac{3}{4}x100\)
= 75
viết sao à
\(\dfrac{101\times9,4-9,4+25\times2,4}{250\%\times125\%\times32}\)
\(=\dfrac{9,4\left(101-1\right)+60}{2,5\times1,25\times32}=\dfrac{940+60}{100}=10\)