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3 tháng 4 2016

\(\left[x-\frac{1}{3}\right]=\frac{1}{2}\)

=>\(x-\frac{1}{3}=-\frac{1}{2}\)

\(x=-\frac{1}{2}+\frac{1}{3}\)

\(x=-\frac{1}{6}\)

ai k mk mk k laij

2 tháng 4 2017

Bạn tự viết lại đề bài nha

\(\frac{1}{2}\)x\(\frac{2}{3}\)x\(\frac{3}{4}\)x\(\frac{4}{5}\)x...x\(\frac{18}{19}\)x\(\frac{19}{20}\)

=\(\frac{1x2x3x4x...x18x19}{2x3x4x5x...x19x20}\)

=\(\frac{1}{20}\)

2 tháng 4 2017

\(\frac{1}{2}\)\(\frac{2}{3}\).\(\frac{3}{4}\).\(\frac{4}{5}\). ... . \(\frac{18}{19}\).\(\frac{19}{20}\)

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

tk cho mk nha, mik đg âm điểm huhu

3 tháng 4 2016

<=> 3 - 1/6 + x = 2/3

<=> 17/6 + x = 2/3

<=> x = 2/3 - 17/6

=> x = -13/6

Vậy x = -13/6

3 tháng 4 2016

\(3-\left(\frac{1}{6}-x\right)=\frac{2}{3}\)

\(\Rightarrow\frac{1}{6}-x=3-\frac{2}{3}\)

\(\Rightarrow\frac{1}{6}-x=\frac{7}{3}\)

\(\Rightarrow x=\frac{1}{6}-\frac{7}{3}\)

\(\Rightarrow x=\frac{-13}{6}\)

3 tháng 4 2016

\(\left(\frac{2}{3}-1\frac{1}{2}\right):\frac{4}{3}+\frac{1}{2}\)

=\(\left(\frac{2}{3}-\frac{3}{2}\right)\times\frac{3}{4}+\frac{1}{2}\)

=\(\frac{-5}{6}\times\frac{3}{4}+\frac{1}{2}\)

=\(\frac{-5}{8}+\frac{4}{8}\)

=\(\frac{-1}{8}\)

Ai thấy đúng thì *******

3 tháng 4 2016

\(\left(\frac{2}{3}-1\frac{1}{2}\right):\frac{4}{3}+\frac{1}{2}\)

\(=\left(\frac{2}{3}-\frac{3}{2}\right):\frac{4}{3}+\frac{1}{2}\)

\(=\left(\frac{4}{6}-\frac{9}{6}\right):\frac{4}{3}+\frac{1}{2}\)

\(=\frac{-5}{6}:\frac{4}{3}+\frac{1}{2}\)

\(=\frac{-5}{6}.\frac{3}{4}+\frac{1}{2}\)

\(=\frac{-5}{8}+\frac{1}{2}\)

\(=\frac{-5}{8}+\frac{4}{8}\)

\(=\frac{1}{8}\)

16 tháng 7 2016

a) (x-3)+(x-2)+(x-1)+....+10+11=11

(x-3)+(x-2)+(x-1)+....+10      =0

gọi số hạng của tổng vế trái là  n

(x-3+10).\(\frac{n}{2}\)=0

(x+7).n:2=0

(x+7)  =0

\(\Rightarrow\)x+7=0           (do n\(\ne\)0)

       x=0-7

       x=-7

b) \(\frac{2}{3}\left[\frac{1}{2}+\frac{3}{4}-\frac{1}{3}\right]<=x<=4\frac{1}{3}.\left[\frac{1}{2}-\frac{1}{6}\right]\)

     \(\frac{2}{3}.\frac{11}{12}<=x<=\frac{13}{3}.\frac{1}{3}\)

      \(\frac{11}{18}<=x<=\frac{13}{9}\)

do x\(\in\)z nên x=1

vậy x=1

18 tháng 4 2018

\(A=\frac{\left(23\frac{11}{15}-26\frac{13}{20}\right)}{12^2+5^2}\cdot\frac{1-\frac{1}{30}-\frac{1}{42}-\frac{1}{56}}{3^2.13.2-13.5}-\frac{19}{37}\)

\(A=\frac{\left(23+\frac{11}{15}-26+\frac{13}{20}\right)}{144+25}\cdot\frac{1-\frac{1}{5.6}-\frac{1}{6.7}-\frac{1}{7.8}}{9.13.2-13.5}-\frac{19}{37}\)

\(A=\frac{\left(23+26+\frac{11}{15}-\frac{13}{20}\right)}{169}\cdot\frac{1-\left(\frac{1}{5}-\frac{1}{6}\right)-\left(\frac{1}{6}-\frac{1}{7}\right)-\left(\frac{1}{7}-\frac{1}{8}\right)}{13.\left(9.2-5\right)}-\frac{19}{37}\)

\(A=\frac{49+\frac{44}{60}-\frac{39}{60}}{169}\cdot\frac{1-\frac{1}{5}+\frac{1}{6}-\frac{1}{6}+\frac{1}{7}-\frac{1}{7}+\frac{1}{8}}{13.13}-\frac{19}{37}\)

\(A=\frac{49+\frac{1}{20}}{169}\cdot\frac{1-\frac{1}{5}+\frac{1}{8}}{169}-\frac{19}{37}\)

\(A=\frac{49\frac{1}{20}}{169}\cdot\frac{\frac{4}{5}+\frac{5}{40}}{169}-\frac{19}{37}\)

\(A=\frac{981}{169}\cdot\frac{\frac{32}{40}+\frac{5}{40}}{169}-\frac{19}{37}\)

\(A=\frac{981}{169}\cdot\frac{\frac{37}{40}}{169}-\frac{19}{37}\)

\(A=\frac{981.\frac{37}{40}}{169^2}-\frac{19}{37}\)

\(A=\frac{\frac{36297}{40}}{28561}-\frac{19}{37}\)

\(A=\frac{907,425}{28561}-\frac{19}{37}\)

\(A=\frac{33574,725}{1056757}-\frac{542659}{1056757}\)

\(A=\frac{-509084,275}{1056757}=-0,04604282...\)

Mik chỉ làm đc thế này thôi, ôn thi học kì II tốt nha bạn!

5 tháng 8 2016

\(\frac{-5}{3}-\left(\frac{4}{5}-\frac{1}{2}\right)-\left|\frac{3}{4}-\frac{5}{2}+\frac{1}{3}\right|\)

\(=\frac{-5}{3}-\frac{4}{5}+\frac{1}{2}-\left|\frac{3}{4}+\frac{-5}{2}+\frac{1}{3}\right|\)

\(=\frac{-5}{3}-\frac{4}{5}+\frac{1}{2}-\left(\frac{3}{4}+\frac{-5}{2}+\frac{1}{3}\right)\)

\(=\frac{-5}{3}-\frac{4}{5}+\frac{1}{2}-\frac{3}{4}+\frac{5}{2}-\frac{1}{3}\)

\(=\left(\frac{-5}{3}-\frac{1}{3}\right)+\left(\frac{1}{2}+\frac{5}{2}\right)-\left(\frac{4}{5}+\frac{3}{4}\right)\)

\(=\frac{-6}{3}+\frac{6}{2}-\left(\frac{16}{20}+\frac{15}{20}\right)\)

\(=-2+3-\frac{31}{20}\)

\(=1-\frac{31}{20}=\frac{-11}{20}\)

6 tháng 8 2016

\(\frac{-5}{3}-\left(\frac{4}{5}-\frac{1}{2}\right)-\left|\frac{3}{4}-\frac{5}{2}+\frac{1}{3}\right|\)

\(=\frac{-5}{3}-\frac{4}{5}+\frac{1}{2}-\left|\frac{3}{4}+\frac{-5}{2}+\frac{1}{3}\right|\)

\(=\frac{-5}{3}-\frac{4}{5}+\frac{1}{2}-\left(\frac{3}{4}+\frac{-5}{2}+\frac{1}{3}\right)\)

\(=\frac{-5}{3}-\frac{4}{5}+\frac{1}{2}-\frac{3}{4}+\frac{5}{2}-\frac{1}{3}\)

\(=\left(\frac{-5}{3}-\frac{1}{3}\right)+\left(\frac{1}{2}+\frac{5}{2}\right)-\left(\frac{4}{5}+\frac{3}{4}\right)\)

\(=\frac{-6}{3}+\frac{6}{2}-\left(\frac{16}{20}+\frac{15}{20}\right)\)

\(=\frac{-6}{3}+\frac{6}{2}-\left(\frac{16}{20}+\frac{15}{20}\right)\)

\(=1-\frac{31}{20}=\frac{-11}{20}\)

16 tháng 8 2017

5.(1/5+1/17)-(2/5+2/17+9/15+12/68)

=5.22/85-22/17

=22/17-22/17

=0

16 tháng 8 2017

Ta có : \(5\cdot\left(\frac{1}{5}+\frac{1}{17}\right)-\left(\frac{2}{5}+\frac{2}{17}+\frac{9}{15}+\frac{12}{68}\right)\)

\(=\) \(5\cdot\frac{1}{5}+5\cdot\frac{1}{17}-\left(\frac{2}{5}+\frac{2}{17}+\frac{3}{5}+\frac{3}{17}\right)\)

\(=\) \(1+\frac{5}{17}-\left[\left(\frac{2}{5}+\frac{3}{5}\right)+\left(\frac{2}{17}+\frac{3}{17}\right)\right]\)

\(=\) \(1+\frac{5}{17}-\left(1+\frac{5}{17}\right)\)

\(=\) \(1+\frac{5}{17}-1-\frac{5}{17}\)

\(=\)\(0\)

     Vậy ... 

                  Tk ủng hộ mk nha các bn ❣❣ C.ơn nhiều ^^

3 tháng 4 2016

\(\frac{1}{7}-\frac{8}{7}:8-3:\frac{3}{4}.\left(-2\right)^2\)

=\(\frac{1}{7}-\frac{1}{7}-4.4\)

=0-16

=-16