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7 tháng 8 2016

Đổi hết ra phân số nhé

Ta dc:\(\left(\left(\frac{33}{5}\right)-8.\frac{1}{8}+\frac{2}{15}.\frac{3}{10}\right).\frac{3}{14}\)

\(=\left(\left(\frac{33}{5}\right)-1+\frac{1}{25}\right).\frac{3}{14}\)

\(=\frac{141}{25}.\frac{3}{14}=\frac{423}{350}\)
 

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

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

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

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

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

26 tháng 7 2018

\(\frac{11}{9}+\frac{35}{18}\)

\(=\frac{19}{6}\)

\(\frac{22}{21}:\frac{1}{2}+\frac{25}{12}:\frac{1}{2}\)

\(\frac{44}{21}+\frac{25}{6}\)

\(\frac{263}{42}\)

\(\frac{19}{2}+\frac{6}{8}.\frac{2}{3}:\left(1-\frac{3}{2}\right)\)

\(=\frac{19}{2}+\frac{6}{8}.\frac{2}{3}:\frac{-1}{2}\)

\(=\frac{19}{2}+\frac{1}{2}:\frac{-1}{2}\)

\(=\frac{19}{2}+\left(-1\right)\)

\(=\frac{19}{2}-\frac{-2}{2}\)

\(=\frac{17}{2}\)

 

16 tháng 8 2017

Ta có:

\(A=\left(x-\frac{1}{2}\right).\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)=\frac{1}{3}\)

\(\Leftrightarrow A=\left(x-\frac{1}{2}\right).\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)=\frac{1}{3}\)

\(\Leftrightarrow A=\left(x-\frac{1}{2}\right).\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\right)=\frac{1}{3}\)

\(\Leftrightarrow A=\left(x-\frac{1}{2}\right).\left(\frac{1}{1}-\frac{1}{10}\right)=\frac{1}{3}\)

\(\Leftrightarrow A=\left(x-\frac{1}{2}\right).\frac{9}{10}=\frac{1}{3}\Leftrightarrow x-\frac{1}{2}=\frac{1}{3}.\frac{10}{9}\Leftrightarrow x=\frac{47}{54}\)

\(B=\frac{1}{1.6}+\frac{1}{6.11}+\frac{1}{11.16}+...+\frac{1}{96.101}=\frac{1}{10.x}\)

\(\Leftrightarrow B=\frac{1}{5}.\left(\frac{5}{1.6}+\frac{5}{6.11}+\frac{5}{11.16}+...+\frac{5}{96.101}\right)=\frac{1}{10}-\frac{1}{x}\)

\(\Leftrightarrow B=\frac{1}{5}.\left(\frac{1}{1}-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+...+\frac{1}{96}-\frac{1}{101}\right)=\frac{1}{10}-\frac{1}{x}\)

\(\Leftrightarrow B=\frac{1}{5}.\left(\frac{1}{1}-\frac{1}{101}\right)=\frac{1}{10}-\frac{1}{x}\Leftrightarrow B=\frac{1}{5}.\frac{100}{101}=\frac{1}{10}-\frac{1}{x}\)

\(\Leftrightarrow B=\frac{1}{x}=\frac{1}{10}-\frac{20}{101}=-\frac{99}{1010}\Leftrightarrow x=-\frac{1010}{99}\)

16 tháng 8 2017

c) Sai đề nhé bạn vì không có kết quả nên không tìm được x.

d) \(\left(x-5\right).\left(10-9\frac{40}{41}\right):\left(1-\frac{81}{82}\right):\left(1-\frac{204}{205}\right)=2050\)

\(\Rightarrow\left(x-5\right).\frac{1}{41}.82.205=2050\)

\(\Rightarrow\left(x-5\right).2.205=2050\Leftrightarrow x-5=2050:410=5\Leftrightarrow x=10\)

12 tháng 6 2016

\(\frac{18}{11}+\left(\frac{7}{4}-\frac{3}{5}\right):\frac{1}{2}\)

\(\frac{18}{11}+\frac{23}{20}:\frac{1}{2}\)

\(\frac{18}{11}+\frac{23}{20}\times\frac{2}{1}\)

\(\frac{18}{11}+\frac{23}{10}\)

\(\frac{433}{110}\)

20 tháng 6 2018

14 : ( 4\(\frac{2}{3}\)- 1\(\frac{5}{9}\)) + 14 : ( \(\frac{2}{3}\)\(\frac{8}{9}\))

= 14 : ( \(\frac{14}{3}\)\(\frac{14}{9}\)) + 14 : ( \(\frac{6}{9}\) + \(\frac{8}{9}\))

= 14 : ( 14 - \(\frac{14}{9}\)) + 14 : \(\frac{14}{9}\)

= 14 : \(\frac{112}{9}\)+ 14 : \(\frac{14}{9}\)

\(\frac{9}{8}\)+ 9

\(\frac{81}{8}\)