Tinh nhanh neu co the:
\(2-\dfrac{2}{3+\dfrac{1}{2}}\)
\(\dfrac{1-\dfrac{1}{\dfrac{3}{4}+1}}{3}\)
a)\(2-\dfrac{2}{3+\dfrac{1}{2}}=2-\dfrac{2}{\dfrac{7}{2}}=\dfrac{10}{7}\)
b)\(\dfrac{1-\dfrac{1}{\dfrac{3}{4}+1}}{3}=\dfrac{1-\dfrac{1}{\dfrac{4}{7}}}{3}=-\dfrac{\dfrac{3}{4}}{3}=-\dfrac{1}{4}\)
chứng minh A=1+1/2+1/3+...+1/100 không phải số tự nhiên .
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Bài 1
Cho phân số a/b khác 1 . Tìm phân số c/d sao cho a/b + c/d = a/b . c/d
aaa:a
abab: ab
abc abc:abc
X-40%=36
tính
\(G=\left(1-\dfrac{1}{7}\right)\left(1-\dfrac{2}{7}\right)\left(1-\dfrac{3}{7}\right)...\left(1-1\dfrac{2}{7}\right)\left(1-1\dfrac{3}{7}\right)\)
1. E = \(\dfrac{3}{1.4}+\dfrac{3}{4.7}+\dfrac{3}{7.10}+\dfrac{3}{10.13}+\dfrac{3}{13.16}+\dfrac{3}{16.19}+\dfrac{3}{19.22}\)
2. (x-4)(x-5)=0
30%x+x=52
Tìm x biết :
\(\dfrac{1}{2.4}+\dfrac{1}{4.6}+...+\dfrac{1}{\left(2x-2\right)2x}=\dfrac{1}{8}\left(x\in N,x\ge2\right)\)
Chứng minh
\(\dfrac{1}{2}\) + \(\dfrac{1}{2^2}\) + ... + \(\dfrac{1}{2^{30}}\) < 1
\(F=\left(1-\dfrac{1}{5}\right).\left(1-\dfrac{1}{6}\right).\left(1-\dfrac{1}{7}\right)...\left(1-\dfrac{1}{100}\right)\)
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