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13 tháng 8 2017

\(\left(1-\frac{1}{3}\right)\)\(x\left(1-\frac{1}{6}\right)\)\(x\)\(\left(1-\frac{1}{10}\right)\)\(x\)\(\left(1-\frac{1}{15}\right)\)\(x\)\(\left(1-\frac{1}{21}\right)\)\(x\)\(\left(1-\frac{1}{28}\right)\)\(=\)\(\left(\frac{3}{3}-\frac{1}{3}\right)\)\(x\)\(\left(\frac{6}{6}-\frac{1}{6}\right)\)\(x\)\(\left(\frac{10}{10}-\frac{1}{10}\right)\)\(x\)\(\left(\frac{15}{15}-\frac{1}{15}\right)\)\(x\)\(\left(\frac{21}{21}-\frac{1}{21}\right)\)\(x\)\(\left(\frac{28}{28}-\frac{1}{28}\right)\)\(=\)\(\frac{2}{3}x\frac{5}{6}x\frac{9}{10}x\frac{14}{15}x\frac{20}{21}x\frac{27}{28}\)\(=\)\(\frac{2x5x9x14x20x27}{3x6x10x15x21x28}\)\(=\)\(\frac{2x5\left(3x3\right)x\left(2x7\right)x\left(5x4\right)x\left(3x3x3\right)}{3x\left(3x2\right)x\left(5x2\right)x\left(5x3\right)x\left(7x3\right)x\left(4x7\right)}\)\(=\)\(\frac{3}{7}\)

25 tháng 6 2017

Ta có : \(\frac{1}{4}+\frac{1}{3}:\frac{1}{x}=\frac{11}{12}\)

\(\Rightarrow\frac{1}{3}:\frac{1}{x}=\frac{11}{12}-\frac{1}{4}\)

\(\frac{1}{3}:\frac{1}{x}=\frac{2}{3}\)

\(\frac{1}{x}=\frac{1}{3}:\frac{2}{3}\)

\(\frac{1}{x}=\frac{1}{3}\times\frac{3}{2}\)

\(\frac{1}{x}=\frac{1}{2}\)

=> x = 2

25 tháng 6 2017

a) \(\frac{x\div3-16}{2}+21=38\)

\(\frac{x\div3-16}{2}=38+21\)

\(\frac{x\div3-16}{2}=59\)

\(x\div3-16=59.2\)

\(x\div3-16=118\)

\(x\div3=118+16\)

\(x\div3=134\)

\(x=134.3\)

\(x=402\)

b) \(\frac{1}{4}+\frac{1}{3}\div\frac{1}{x}=\frac{11}{12}\)

\(\frac{1}{3}\div\frac{1}{x}=\frac{11}{12}-\frac{1}{4}\)

\(\frac{1}{3}\div\frac{1}{x}=\frac{2}{3}\)

\(\frac{1}{x}=\frac{1}{3}\div\frac{2}{3}\)

\(\frac{1}{x}=\frac{1}{2}\)

Vậy x = ....

3 tháng 7 2018

Câu b:

\(\frac{21}{8}:\frac{5}{6}+\frac{1}{2}:\frac{5}{6}\)

\(\frac{63}{20}+\frac{3}{5}\)

\(\frac{15}{4}\)

7 tháng 7 2018

\(\left(\frac{21}{8}+\frac{1}{2}\right):\frac{5}{6}\)

\(\frac{25}{8}:\frac{5}{6}\)

\(\frac{25}{8}.\frac{6}{5}\)

\(\frac{30}{8}\)

8 tháng 8 2015

\(\frac{1}{2.3}=\frac{1}{2}-\frac{1}{3}\) trong đó 3 = x ; 2 = x - 1 

\(\frac{1}{\left(x-1\right)x}=\frac{1}{x-1}-\frac{1}{x}\)