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\(a,\frac{2}{3}\cdot x-\frac{4}{7}=\frac{1}{8}\)
\(\Leftrightarrow\frac{2}{3}\cdot x=\frac{1}{8}+\frac{4}{7}\)
\(\Leftrightarrow\frac{2}{3}\cdot x=\frac{7}{56}+\frac{32}{56}\)
\(\Leftrightarrow\frac{2}{3}\cdot x=\frac{39}{56}\)
\(\Leftrightarrow x=\frac{39}{56}:\frac{2}{3}=\frac{39}{56}\cdot\frac{3}{2}=\frac{39\cdot3}{56\cdot2}=\frac{117}{112}\)
\(b,\frac{2}{7}-\frac{8}{9}\cdot x=\frac{2}{3}\)
\(\Leftrightarrow\frac{8}{9}\cdot x=\frac{2}{7}-\frac{2}{3}\)
\(\Leftrightarrow\frac{8}{9}\cdot x=\frac{6}{21}-\frac{14}{21}\)
\(\Leftrightarrow\frac{8}{9}\cdot x=\frac{-8}{21}\)
\(\Leftrightarrow x=\frac{-8}{21}:\frac{8}{9}=\frac{-8}{21}\cdot\frac{9}{8}=\frac{-8\cdot9}{21\cdot8}=\frac{-1\cdot3}{7\cdot1}=\frac{-3}{7}\)
Làm nốt hai bài cuối đi nhé
Study well >_<
Mk k chép lại đề bài nha
a)\(\frac{2}{3}.x=\frac{1}{8}+\frac{4}{7}\)
\(\frac{2}{3}.x=\frac{7}{56}+\frac{32}{56}\)
\(\frac{2}{3}.x=\frac{39}{56}\)
\(x=\frac{39}{56}:\frac{2}{3}\)
\(x=\frac{39}{56}.\frac{3}{2}\)
\(x=\frac{117}{112}\)
Mk sợ sai lém!!!
Bài 1:
a) b) c) sẽ có bạn giải cho em thôi vì nó dễ tính tay cũng đc
d) \(\frac{4}{2.5}+\frac{4}{5.8}+...+\frac{4}{23.26}\)
\(=\frac{4}{3}.\left(\frac{3}{2.5}+\frac{3}{5.8}+...+\frac{3}{23.26}\right)\)
\(=\frac{4}{3}.\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+...+\frac{1}{23}-\frac{1}{26}\right)\)
\(=\frac{4}{3}.\left(\frac{1}{2}-\frac{1}{26}\right)\)
\(=\frac{4}{3}.\frac{6}{13}\)
\(=\frac{8}{13}\)
Bài 2:
a) b) c)
d)\(|\frac{5}{8}x+\frac{6}{7}|-\frac{4}{7}=\frac{10}{7}\)
\(\Leftrightarrow|\frac{5}{8}x+\frac{6}{7}|=2\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{5}{8}x+\frac{6}{7}=2\\\frac{5}{8}x+\frac{6}{7}=-2\end{cases}}\)\(\Leftrightarrow\orbr{\begin{cases}\frac{5}{8}x=\frac{8}{7}\\\frac{5}{8}x=\frac{-20}{7}\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{64}{35}\\x=\frac{-32}{7}\end{cases}}}\)
Vậy \(x\in\left\{\frac{64}{35};\frac{-32}{7}\right\}\)
Bài 1 :
a) \(\left(\frac{2}{5}-\frac{5}{8}\right):\frac{11}{30}+\frac{1}{8}\)
\(=\frac{-9}{40}:\frac{11}{30}+\frac{1}{8}\)
\(=\frac{-27}{44}+\frac{1}{8}\)
\(=\frac{-43}{88}\)
đặt A = 1/1.3 + 1/3.5 + ..+ 1/19.21
2A = 2/1.3 + 2/3.5 +..+2/19.21
2A = 3-1/1.3 +...+5-3/3.5 +... + 21-19/19.21
2A = 1/1 - 1/3 + 1/3 -1/5 +...+1/19 -1/21
2A = 20/21
A = 10/21
r thế vào tính là xng
Bài 1
\(\left(\frac{1}{2}-x\right)^2=\frac{4}{9}\)
\(\Leftrightarrow\left(\frac{1}{2}-x\right)^2=\left(\frac{2}{3}\right)^2\)
\(\Leftrightarrow\frac{1}{2}-x=\frac{2}{3}\)
\(\Leftrightarrow\frac{3}{6}-\frac{4}{6}=x\)
\(\Leftrightarrow x=\frac{-1}{6}\)
Bài 2
Để \(\frac{2x+1}{x-1}\in Z\)
\(\Leftrightarrow\frac{2X-2+3}{X-1}\in Z\)
\(\Leftrightarrow2+\frac{3}{X-1}\in Z\)
\(\Rightarrow3⋮X-1\)
\(\Rightarrow X-1\inƯ\left(3\right)\)
\(\Rightarrow X-1=\left\{-3,-1,1,3\right\}\)
\(\Rightarrow X=\left\{-2,0,2,4\right\}\)
\(\frac{1}{4}+\frac{1}{3}:3.x=-5\)
\(\frac{1}{9}.x=-5-\frac{1}{4}\)
\(\frac{1}{9}.x=-\frac{21}{4}\)
\(x=-\frac{21}{4}:\frac{1}{9}\)
\(x=-\frac{189}{4}\)
\(\frac{1}{4}+\frac{1}{3}:3.x=-5\)
\(\frac{1}{4}+\frac{1}{9}x=-5\)
\(\frac{1}{9}x=-5-\frac{1}{4}\)
\(\frac{1}{9}x=\frac{-20}{4}-\frac{1}{4}\)
\(\frac{1}{9}x=\frac{-21}{4}\)
\(x=\frac{-21}{4}:\frac{1}{9}\)
\(x=\frac{-21}{4}.9\)
\(x=\frac{-189}{4}\)