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\(D=\left(1-\frac{1}{2}\right)+\left(1-\frac{1}{6}\right)+\left(1-\frac{1}{12}\right)+\left(1-\frac{1}{20}\right)\)
\(=\left(1+1+1+1\right)-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}\right)\)
\(=4-\left(\frac{2-1}{1.2}+\frac{3-2}{2.3}+\frac{4-3}{3.4}+\frac{5-4}{4.5}\right)\)
\(=4-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}\right)\)
\(=4-\left(1-\frac{1}{5}\right)=4-\frac{4}{5}=\frac{16}{5}\)
\(D=1-\frac{1}{2}+1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}\)
\(D=\left(1+1+1+1\right)-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}\right)\)
\(D=4-\frac{4}{5}\)
\(D=\frac{16}{5}\)
a (\(\frac{9}{2}\)x - \(\frac{16}{3}\)).\(\frac{1}{12}\) + \(\frac{1}{2}\)x=\(\frac{3}{2}\)
\(\frac{9}{2}\)x . \(\frac{1}{12}\) - \(\frac{16}{3}\) . \(\frac{1}{12}\) + \(\frac{1}{2}\)x=\(\frac{3}{2}\)
( \(\frac{9}{2}\)x . \(\frac{1}{12}\) + \(\frac{1}{2}\)x) - \(\frac{16}{3}\) . \(\frac{1}{12}\) = \(\frac{3}{2}\)
x. ( \(\frac{9}{2}\) . \(\frac{1}{12}\) +\(\frac{1}{2}\)) - \(\frac{4}{9}\) = \(\frac{3}{2}\)
x.\(\frac{7}{8}\) = \(\frac{3}{2}\) + \(\frac{4}{9}\) = \(\frac{35}{18}\)
x= \(\frac{35}{18}\) : \(\frac{7}{8}\) = \(\frac{20}{9}\) Vậy x=\(\frac{20}{9}\)
b 60%+2/3x=684
3/5x+2/3x=684
x(3/5+ 2/3) = 684
x. 19/15 = 684
x=540. Vậy x=540
\(\frac{1}{3}x+\frac{2}{5}x-\frac{2}{5}x=0\)
\(x.\left(\frac{1}{3}+\frac{2}{5}\right)-\frac{2}{5}=0\)
\(x.\frac{11}{15}=0+\frac{2}{5}=\frac{2}{5}\)
\(x=\frac{2}{5}:\frac{11}{15}=\frac{6}{11}\)
\(\left[6+\left(\frac{1^3}{2}\right)-\left|\frac{1}{2}\right|\right]\div\frac{3}{12}\)
\(=\left[6+\frac{1}{2}-\frac{1}{2}\right]\div\frac{1}{4}\)
\(=6\times4\)
\(=24\)
~Study well~
#KSJ