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Mk biết làm ý a thôi
Rút gọn đi ta được: \(\frac{76}{67}-\frac{205}{302}\) rồi bạn tự tính nhá
\(\frac{\text{1984.1985 + 1986.20 + 1965}}{1985.200-1984.1986}=-1,123249617\approx-1,13\)
-\(\frac{1989.1985+1986.20+1965}{1985.2000-1984.1985}\)
\(=\frac{1989.1985+1986.20-20+1985}{1985\left(2000-1984\right)}\)
\(=\frac{1985\left(1989+20+1\right)}{1985.16}\)
\(=\frac{2010}{16}=\frac{1005}{8}=125,625\)
a.\(\frac{2001.2002-1}{400.2002+4002}\)
\(=\frac{2000}{4000+4002}\)
\(=\frac{2000}{8002}=\frac{1000}{4001}\)
b.\(\frac{1999.2000-1}{1998.1999+3997}\)
\(=\frac{2000-1}{1998+3997}\)
\(=\frac{1999}{5995}\)
a) \(\frac{2001.2002-1}{2001.2002-1+1999.2002+4003}=\frac{2001.2002-1}{\left(2001.2002-1\right)+1999.2002+4004-1}\)
\(=\frac{2001.2002-1}{\left(2001.2002-1\right)+2002.\left(1999+2\right)-1}\)
\(=\frac{2001.2002-1}{\left(2001.2002-1\right)+2002.2001-1}=\frac{1.\left(2001.2002-1\right)}{\left(2001.2002-1\right).2}\)
= 1/2
b) \(\frac{1999.2000-1}{1998.1999+3997}=\frac{1999.2000-1}{1998.1999+3998-1}\)
\(=\frac{1999.2000-1}{1999.\left(1998+2\right)-1}=\frac{1999.2000-1}{1999.2000-1}=1\)
Ta có: \(B=\frac{1}{199}+\frac{2}{198}+...+\frac{199}{1}\)
\(=\frac{200-199}{199}+\frac{200-198}{198}+...+\frac{200-1}{1}\)
\(=\frac{200}{199}-\frac{199}{199}+\frac{200}{198}-\frac{198}{198}+...+\frac{200}{1}-\frac{1}{1}\)
\(=\left(\frac{200}{199}+\frac{200}{198}+...+\frac{200}{1}\right)-\left(\frac{199}{199}+\frac{198}{198}+...+\frac{1}{1}\right)\)
\(=200+200\left(\frac{1}{199}+\frac{1}{198}+...+\frac{1}{2}\right)-199\)
\(=200\left(\frac{1}{199}+\frac{1}{198}+...+\frac{1}{2}\right)+\frac{200}{200}\)
\(=200\left(\frac{1}{200}+\frac{1}{199}+\frac{1}{198}+...+\frac{1}{2}\right)\)
\(\Rightarrow\frac{A}{B}=\frac{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{200}}{200\left(\frac{1}{200}+\frac{1}{199}+\frac{1}{198}+...+\frac{1}{2}\right)}=\frac{1}{200}\)
Ta có :
\(B=\frac{1}{199}+\frac{2}{198}+....+\frac{198}{2}+\frac{199}{1}\)
\(B=1+\frac{1}{199}+1+\frac{1}{198}+....+1+\frac{198}{2}\)
\(B=\frac{200}{199}+\frac{200}{198}+...+\frac{200}{2}\)
\(B=200\left(\frac{1}{199}+\frac{1}{198}+...+\frac{1}{2}\right)\)
\(\Rightarrow\frac{A}{B}=\frac{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{200}}{200\left(\frac{1}{199}+\frac{1}{198}+...+\frac{1}{2}\right)}=\frac{1}{200}\)
Vậy \(\frac{A}{B}=\frac{1}{200}\)
bài 2:
a)\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{999}-\frac{1}{1000}\)
\(=1-\frac{1}{1000}\)
\(=\frac{999}{1000}\)
mk ko biết bn có sai đề ko nhưng mk chỉ lm theo ý mk hiểu thôi! sai thì thôi nha!
bn làm như vầy nè
a=1/51+1/52+...+1/100
A=1/3.1/7 + 1/2.1/26+....1/2.1/50
A=1/3-1/7+1/2-1/26+...1/2-1/50
A=1/3-1/50
A=47/50
như vầy đó bn tin mik đi
A=9217/20234 B=âm 5930,096468
Bạn ơi cách giải bạn ak