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\(C=\frac{1}{11\cdot16}+\frac{1}{16\cdot21}+...+\frac{1}{61\cdot66}=\frac{5}{5}\cdot\left(\frac{1}{11\cdot16}+\frac{1}{16\cdot21}+...+\frac{1}{61\cdot66}\right)\)
\(=\frac{1}{5}\cdot\left(\frac{5}{11\cdot16}+\frac{5}{16\cdot21}+...+\frac{5}{61\cdot66}\right)=\frac{1}{5}\cdot\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+...+\frac{1}{61}-\frac{1}{66}\right)\)
\(=\frac{1}{5}\cdot\left[\left(\frac{1}{11}-\frac{1}{66}\right)+\left(\frac{1}{16}-\frac{1}{16}\right)+...+\left(\frac{1}{61}-\frac{1}{61}\right)\right]\)
\(=\frac{1}{5}\cdot\left[\left(\frac{6}{66}-\frac{1}{66}\right)+0+...+0\right]=\frac{1}{5}\cdot\frac{5}{66}=\frac{1\cdot5}{5\cdot66}=\frac{1\cdot1}{1\cdot66}=\frac{1}{66}\)
Vậy \(C=\frac{1}{66}\)
Chúc bạn học tốt!^_^
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Lớp 4 đó nếu ai ko làm được thì ko phải học sinh giỏi đó nha
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\(\times+\left(\times+1\right)+\cdot\cdot\cdot+\left(\times+10\right)=660\)
\(\Rightarrow11\times+\left(1+2+\cdot\cdot\cdot+10\right)=660\)
\(\Rightarrow11\times+55=660\)
\(\Rightarrow11\times=660-55\)
\(\Rightarrow11\times=605\)
\(\Rightarrow\times=55\)
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\(\frac{1}{5}\) gấp \(\frac{1}{660}\) \(132\) lần
\(\frac{1}{11}\) gấp \(\frac{1}{660}\) \(60\) lần
\(\frac{1}{12}\) gấp \(\frac{1}{660}\) \(55\) lần
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a) 46 874 – x = 1465
x = 46 874 – 1465
x = 45409
b) x - 1489 = 74 660
x = 74 660+1489
x = 76149
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Trả lời:
Ta có:
1/5:1/660=132 (lần)
1/11:1/660= 60 (lần)
1/12:1/660=55 (lần)
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1) 1/3 x 1/2 x 3/7 = 1/6 x 3/7 = 1/14
2) 5/4 x 1/3 + 1/7 = 5/12 + 1/7 = 47/84
3) 8 x (8/9 - 2/3) = 8 x 2/9 = 16/9
4) 5/6 x 48/20 x 1/2 = 2 x 1/2 = 1
5) (2/5 + 3/4) x 8 = 23/20 x 8 = 46/5
6) 10 x (1/2 - 1/5) = 10 x 3/10 = 3