Bài 1:Thực hiện phép tính\(a,75\%-1\frac{1}{2}+0,5:\frac{5}{12}-\left(\frac{-1}{2}\right)^2\) \(b,\left(\frac{5}{7}.0,6-5:3\frac{1}{2}\right).\left(40\%-1,4\right).\left(-2\right)^3\)Bài 2: Tính nhanh \(\left(\frac{-4}{5}+\frac{4}{3}\right)+\left(\frac{-5}{4}+\frac{14}{5}\right)-\frac{7}{3}\)Bài 3:Tìm x biết\(a,\frac{-2}{3}-\frac{1}{3}.\left(2x-5\right)=\frac{3}{2}\) \(b,\frac{2}{5}.x+\frac{1}{2}=\frac{-3}{4}\) ...
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Bài 1:Thực hiện phép tính
\(a,75\%-1\frac{1}{2}+0,5:\frac{5}{12}-\left(\frac{-1}{2}\right)^2\) \(b,\left(\frac{5}{7}.0,6-5:3\frac{1}{2}\right).\left(40\%-1,4\right).\left(-2\right)^3\)
Bài 2: Tính nhanh
\(\left(\frac{-4}{5}+\frac{4}{3}\right)+\left(\frac{-5}{4}+\frac{14}{5}\right)-\frac{7}{3}\)
Bài 3:Tìm x biết
\(a,\frac{-2}{3}-\frac{1}{3}.\left(2x-5\right)=\frac{3}{2}\) \(b,\frac{2}{5}.x+\frac{1}{2}=\frac{-3}{4}\) \(\frac{1}{3}.x-8=\frac{1}{2}\) \(x-\frac{1}{4}=\frac{5}{8}.\frac{2}{3}\)
Bài 4: Tìm x biết
\(a,\left(\frac{3}{4}.x+2\frac{1}{2}\right).\frac{-2}{3}=\frac{1}{8}\) \(b,\frac{1}{3}.x-0,5=0,75\)
Bài 5: Tìm x biết
\(a,\frac{2}{5}+\frac{3}{5}.\left(3x-3,7\right)=-\frac{53}{10}\) \(b,5,2.x+7\frac{2}{5}=6\frac{3}{4}\) \(2,4:\left(\frac{-1}{2}-x\right)=1\frac{3}{5}\)
Bài 6:Tìm số tự nhiên x,biết: \(\left(x-5\right).\frac{30}{100}=\frac{20.x}{100}+5\)
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1a) \(\frac{2}{3}x-\frac{3}{2}x=\frac{5}{12}=>\left(\frac{2}{3}-\frac{3}{2}\right)x=\frac{5}{12}\)
\(\left(\frac{4}{6}-\frac{9}{6}\right)x=\frac{5}{12}=>\frac{-5}{6}x=\frac{5}{12}\)
\(x=\frac{5}{12}:\frac{-5}{6}=>x=\frac{5}{12}.\frac{-6}{5}=>x=\frac{-1}{2}\)
b)\(\frac{-2}{3}x+\frac{1}{5}=\frac{3}{10}=>\frac{-2}{3}x=\frac{3}{10}-\frac{1}{5}\)
\(\frac{-2}{3}x=\frac{3}{10}-\frac{2}{10}=>\frac{-2}{3}x=\frac{1}{10}\)
\(x=\frac{1}{10}:\frac{-2}{3}=>x=\frac{1}{10}.\frac{-3}{2}=>x=\frac{-3}{20}\)
2a)\(\frac{1}{3}.\frac{5}{7}-\frac{7}{27}.\frac{36}{14}=\frac{1}{3}.\frac{5}{7}-\frac{7}{27}.\frac{18}{7}=\frac{1.5}{3.7}-\frac{7.18}{27.7}=\frac{5}{21}-\frac{1.2}{3.1}=\frac{5}{21}-\frac{2}{3}\)
\(\frac{5}{21}-\frac{14}{21}=\frac{-9}{21}=\frac{-3}{7}\)
b) \(\frac{-3}{7}+\frac{15}{26}-\left(\frac{2}{13}-\frac{3}{7}\right)=\frac{-3}{7}+\frac{15}{26}-\frac{2}{13}+\frac{3}{7}=\left(\frac{-3}{7}+\frac{3}{7}\right)+\left(\frac{15}{26}-\frac{2}{13}\right)\)
\(0+\left(\frac{15}{26}-\frac{4}{26}\right)=0+\frac{11}{26}=\frac{11}{26}\)