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Bài 2:
a: \(45\%\cdot x-0,385=-1,685\)
=>\(0,45x=-1,685+0,385=-1,3\)
=>\(x=-\dfrac{1.3}{0,45}=-\dfrac{26}{9}\)
b: \(\left(3\dfrac{1}{4}+2x\right)\cdot\dfrac{2}{3}=2\)
=>\(2x+\dfrac{13}{4}=2:\dfrac{2}{3}=3\)
=>\(2x=3-\dfrac{13}{4}=-\dfrac{1}{4}\)
=>\(x=-\dfrac{1}{4}:2=-\dfrac{1}{8}\)
c: \(\dfrac{3}{4}+\dfrac{1}{4}:x=-3\)
=>\(\dfrac{1}{4}:x=-3-\dfrac{3}{4}=-\dfrac{15}{4}\)
=>\(x=\dfrac{1}{4}:\dfrac{-15}{4}=\dfrac{-1}{15}\)
d: \(2x-0,75=-\dfrac{7}{12}\)
=>\(2x=-\dfrac{7}{12}+0,75=\dfrac{2}{12}\)
=>\(x=\dfrac{1}{12}\)
e: \(\dfrac{4}{9}-\dfrac{7}{12}x=\dfrac{1}{3}\)
=>\(\dfrac{7}{12}x=\dfrac{4}{9}-\dfrac{1}{3}=\dfrac{1}{9}\)
=>\(x=\dfrac{1}{9}:\dfrac{7}{12}=\dfrac{1}{9}\cdot\dfrac{12}{7}=\dfrac{4}{21}\)
Bài 1:
a: \(\left(\dfrac{7}{5}+\dfrac{-5}{11}\right)-\left(\dfrac{6}{11}-\dfrac{3}{5}\right)-2023^0\)
\(=\dfrac{7}{5}-\dfrac{5}{11}-\dfrac{6}{11}+\dfrac{3}{5}-1\)
\(=2-1-1=0\)
b: \(\dfrac{2}{-9}\cdot\dfrac{7}{15}+\dfrac{-2}{9}\cdot\dfrac{8}{15}+1\dfrac{2}{3}\)
\(=\dfrac{-2}{9}\left(\dfrac{7}{15}+\dfrac{8}{15}\right)+\dfrac{5}{3}\)
\(=-\dfrac{2}{9}+\dfrac{5}{3}=\dfrac{13}{9}\)
c: \(\dfrac{1}{3}+\dfrac{-7}{12}+\dfrac{2}{3}+\dfrac{-5}{12}\)
\(=\left(\dfrac{1}{3}+\dfrac{2}{3}\right)+\left(-\dfrac{7}{12}-\dfrac{5}{12}\right)\)
=1-1
=0
d: \(\dfrac{3}{7}\cdot\dfrac{-9}{13}+\dfrac{3}{7}\cdot\dfrac{-4}{13}+1\dfrac{3}{7}\)
\(=\dfrac{3}{7}\left(-\dfrac{9}{13}-\dfrac{4}{13}\right)+1+\dfrac{3}{7}\)
\(=-\dfrac{3}{7}+1+\dfrac{3}{7}\)
=1
e: \(\dfrac{2}{-5}-\left(\dfrac{5}{2}-\dfrac{12}{5}\right)\)
\(=-\dfrac{2}{5}-\dfrac{5}{2}+\dfrac{12}{5}=2-\dfrac{5}{2}=-\dfrac{1}{2}\)