6/5+6/10+6/20+6/40+.......+6/640
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a) \(\dfrac{13}{20}+\dfrac{3}{5}+x=\dfrac{5}{6}\)
\(\Rightarrow\dfrac{5}{4}+x=\dfrac{5}{6}\)
\(\Rightarrow x=\dfrac{5}{6}-\dfrac{5}{4}\)
\(\Rightarrow x=\dfrac{-5}{12}\)
b) \(x+\dfrac{1}{3}=\dfrac{2}{5}-\dfrac{-1}{3}\)
\(\Rightarrow x+\dfrac{1}{3}=\dfrac{11}{15}\)
\(\Rightarrow x=\dfrac{11}{15}-\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{2}{5}\)
c)\(\dfrac{-5}{8}-x=\dfrac{-3}{20}-\dfrac{-1}{6}\)
\(\dfrac{-5}{8}-x=\dfrac{1}{60}\)
\(\Rightarrow x=\dfrac{-5}{8}-\dfrac{1}{60}\)
\(\Rightarrow x=\dfrac{-77}{120}\)
d) \(\dfrac{3}{5}-x=\dfrac{1}{4}+\dfrac{7}{10}\)
\(\Rightarrow\dfrac{3}{5}-x=\dfrac{19}{20}\)
\(\Rightarrow x=\dfrac{3}{5}-\dfrac{19}{20}\)
\(\Rightarrow x=\dfrac{-7}{20}\)
e) \(\dfrac{-3}{7}-x=\dfrac{4}{5}+\dfrac{-2}{3}\)
\(\Rightarrow\dfrac{-3}{7}-x=\dfrac{2}{15}\)
\(\Rightarrow x=\dfrac{-3}{7}-\dfrac{2}{15}\)
\(\Rightarrow x=\dfrac{-59}{105}\)
g) \(\dfrac{-5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)
\(\Rightarrow\dfrac{-5}{6}-x=\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-5}{6}-\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-13}{12}\)
(x+1/10).5/6=3-7/6
(x+1/10).5/6=18/6-7/6
(x+1/10).5/6=11/6
x+1/10=11/6:5/6
x+1/10=11/6.6/5
x+1/10=11/5
x =11/5-1/10
x=22/10-1/10
x=21/10
dấu . là dấu nhân nha
Chúc bạn học tốt
Đặt A=2/3+2/6+2/12+...+2/768
=2/3(1+1/2+1/4+...+1/256)
Đặt B=1+1/2+1/4+...+1/256
=>2B=2+1+1/2+...+1/128
=>B=2-1/256=511/256
=>\(A=\dfrac{2}{3}\cdot\dfrac{511}{256}=\dfrac{511}{128\cdot3}=\dfrac{511}{384}\)
=(-1+2)-(3+4)-(5+6)-........-(2017+2018)
=1-7-11-........-4035
=-1009
Đặt \(A=\dfrac{6}{5}+\dfrac{6}{10}+...+\dfrac{6}{640}\)
=>\(2A=\dfrac{12}{5}+\dfrac{6}{5}+...+\dfrac{6}{320}\)
=>\(2A-A=\dfrac{12}{5}-\dfrac{6}{640}=\dfrac{153}{64}\)
=> \(A=\dfrac{153}{64}\)