tính nhanh \(\frac{4}{5}\times0,5+\frac{12}{5}\times0,3+8\div10\times0,2\)
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a, \(-\frac{2}{5}x+\frac{4}{3}=\frac{7}{3}\)
\(-\frac{2}{5}x\)=\(\frac{7}{3}-\frac{4}{3}\)
\(-\frac{2}{5}x\) = 1
\(x=\frac{5}{-2}\)
b, \(\left(x\times\frac{1}{2}-\frac{3}{7}\right)=\frac{8}{7}\times\frac{1}{2}\)
\(x\times\frac{1}{2}-\frac{3}{7}=\frac{4}{7}\)
.............................................
\(x=2\)
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\(\frac{\frac{3}{8}-\frac{3}{10}+\frac{3}{11}+\frac{3}{12}}{\frac{5}{8}-\frac{5}{10}+\frac{5}{11}+\frac{5}{12}}+\frac{\frac{3}{2}+1+\frac{3}{4}}{\frac{5}{2}+\frac{5}{3}+\frac{5}{4}}\)
\(=\frac{3.\left(\frac{1}{8}-\frac{1}{10}+\frac{1}{11}+\frac{1}{12}\right)}{5.\left(\frac{1}{8}-\frac{1}{10}+\frac{1}{11}+\frac{1}{12}\right)}+\frac{3.\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)}{5.\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)}\)
\(=\frac{3}{5}+\frac{3}{5}\)
\(=\frac{6}{5}\)
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\(14.\frac{5}{21}=\frac{14}{1}.\frac{5}{21}=\frac{14.5}{21}=\frac{10}{3}\)
\(\frac{5}{21}.14=\frac{5.14}{21.1}=\frac{5.2}{3.1}=\frac{10}{3}\)
\(10:\frac{5}{3}=10.\frac{3}{5}=\frac{10.3}{5}=2.3=6\)
\(\frac{5}{3}:10=\frac{5}{3}.\frac{1}{10}=\frac{5}{3.10}=\frac{1}{6}\)
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\(\frac{-5}{12}-\left(\frac{3}{4}+\frac{7}{12}-\frac{2}{8}\right)=-\frac{5}{12}+\frac{3}{4}-\frac{7}{12}+\frac{2}{8}=\left(-\frac{5}{12}-\frac{7}{12}\right)+\left(\frac{3}{4}+\frac{2}{8}\right)=-1+\left(\frac{6}{8}+\frac{2}{8}\right)=-1+\frac{8}{8}=-1+1=0\)