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A=1/18 + 1/36 + ... + 1/29700
A= 1/3.6 + 1/3.12 + ... 1/3.9900
A= 1/3 . 1/6 + 1/3 . 1/12 + ... + 1/3 . 1/9900
A= 1/3 .(1/2.3 +1/3.4 + ... + 1/99.100)
A= 1/3 .(1/2 - 1/3 +1/3 -1/4 + ... + 1/99 - 1/100)
A= 1/3 .(1/2 - 1/100)
A= 1/3 . 49/100
A= 49/300
\(a,\frac{15}{2}-\left(\frac{x}{2}-\frac{3}{4}\right)=\frac{5}{26}\)
\(\frac{x}{2}-\frac{3}{4}=\frac{15}{2}-\frac{5}{26}\)
\(\frac{x}{2}-\frac{3}{4}=39\)
\(\frac{x}{2}=39+\frac{3}{4}\)
\(\frac{x}{2}=\frac{159}{4}\)
\(\Rightarrow\frac{2.x}{4}=\frac{159}{4}\)
\(\Rightarrow2.x=159\)
\(\Rightarrow x=159:2=\frac{159}{2}\)
7/8 chia (2/9-1/8)+7/8 CHIA (1/36-5/12
=7/8 CHIA 1/6 +(-7/18)
=21/4+(-7/8)
=35/8
a) \(\frac{-1}{2}+\frac{-1}{9}-\frac{-3}{5}+\frac{1}{2006}-\frac{-2}{7}-\frac{7}{18}+\frac{4}{35}\)
\(=\left(\frac{-1}{2}-\frac{1}{9}-\frac{7}{18}\right)+\left(\frac{3}{5}+\frac{4}{35}\right)+\frac{1}{2006}\)
\(=\left(\frac{-9}{18}-\frac{2}{18}-\frac{7}{18}\right)+\left(\frac{21}{35}+\frac{4}{35}\right)+\frac{1}{2006}\)
\(=\left(\frac{-9-2-7}{18}\right)+\left(\frac{21+4}{35}\right)+\frac{1}{2006}\)
\(=\left(\frac{-18}{18}\right)+\left(\frac{25}{35}\right)+\frac{1}{2006}\)
\(=\left(-1\right)+\frac{5}{7}+\frac{1}{2006}\)\(=\frac{-4005}{14042}\)
b) \(\frac{1}{3}-\frac{3}{4}+\frac{3}{5}+\frac{1}{2007}-\frac{1}{36}+\frac{1}{15}-\frac{2}{9}\)
\(=\left(\frac{1}{3}+\frac{1}{2007}-\frac{2}{9}\right)-\left(\frac{3}{4}+\frac{1}{36}\right)+\left(\frac{3}{5}+\frac{1}{15}\right)\)
\(=\left(\frac{669}{2007}+\frac{1}{2007}-\frac{446}{2007}\right)-\left(\frac{27}{36}+\frac{1}{36}\right)+\left(\frac{9}{15}+\frac{1}{15}\right)\)
\(=\frac{224}{2007}-\frac{28}{36}+\frac{10}{15}\)
\(=\frac{224}{2007}-\frac{1561}{2007}+\frac{1338}{2007}\)\(=\frac{1}{2007}\)
A= 7/8:(4/18-1/18)+7/8:(1/36-15/36)
=7/8:1/6+7/8:(-7/18)
=7/8:(1/6+-7/18)=7/8:(3/18+-7/18)=7/8:(-2/9)=-63/18=-7/2
lấy p/s cuối trừ đi p/s đầu
1/18 + 1/36 + ... + 1/29700
= 1/3.6 + 1/3.12 + ... 1/3.9900
= 1/3 . 1/6 + 1/3 . 1/12 + ... + 1/3 . 1/9900
= 1/3 .(1/2.3 +1/3.4 + ... + 1/99.100)
= 1/3 .(1/2 - 1/3 +1/3 -1/4 + ... + 1/99 - 1/100)
= 1/3 .(1/2 - 1/100)
= 1/3 . 49/100
= ... (cái này bạn tự tính nhé!)