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3 tháng 7 2023

`3/7 +1/2 -17/7 +3/2`

`= ( 3/7 -17/7) +(1/2 +3/2)`

`= -14/7 + 4/2`

`= -2 + 2`

`=0`

`@` `\text {Ans}`

`\downarrow`

\(\dfrac{3}{7}+\dfrac{1}{2}-\dfrac{17}{7}+\dfrac{3}{2}\)

`=`\(\left(\dfrac{3}{7}-\dfrac{17}{7}\right)+\left(\dfrac{1}{2}+\dfrac{3}{2}\right)\)

`=`\(-\dfrac{14}{7}+\dfrac{4}{2}\)

`= -2+2=0` 

22 tháng 6 2016

\(a,\left(\frac{3}{8}+-\frac{3}{4}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)

   =  \(\left(-\frac{3}{8}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)

    = \(\frac{5}{24}:\frac{5}{6}+\frac{1}{2}\)

     = \(\frac{1}{4}+\frac{1}{2}\)

      =  \(\frac{3}{4}\)

b)\(-\frac{7}{3}.\frac{5}{9}+\frac{4}{9}.\left(-\frac{3}{7}\right)+\frac{17}{7}\)

    =\(-\frac{35}{27}+\left(-\frac{4}{21}\right)+\frac{17}{7}\)

   = \(-\frac{35}{27}+\frac{47}{21}\)

   =        \(\frac{178}{189}\)

c) \(\frac{117}{13}-\left(\frac{2}{5}+\frac{57}{13}\right)\)

  = \(\frac{117}{13}-\frac{311}{65}\)

 =       \(\frac{274}{65}\)

d) \(\frac{2}{3}-0,25:\frac{3}{4}+\frac{5}{8}.4\)

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

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

=     \(\frac{1}{3}+\frac{5}{2}\)

=         \(\frac{17}{6}\)

15 tháng 8 2019

\(A=\frac{2}{7}+\frac{-3}{8}+\frac{11}{7}+\frac{1}{3}+\frac{1}{7}+\frac{5}{-8}\)

\(A=\left(\frac{2}{7}+\frac{11}{7}+\frac{1}{7}\right)+\left(\frac{-3}{8}+\frac{5}{-8}\right)+\frac{1}{3}\)

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

\(A=\frac{4}{3}\)

\(B=\frac{3}{17}+\frac{-5}{13}+\frac{-18}{35}+\frac{14}{17}+17\)

\(B=\left(\frac{3}{17}+\frac{14}{17}\right)+\frac{-5}{13}+\frac{-18}{35}+17\)

\(B=1+\frac{-5}{13}+\frac{-18}{35}+17\)

\(B=18+\frac{-5}{13}+\frac{-18}{35}\)

\(B=\frac{7781}{455}\)

23 tháng 7 2016

a/  -7/2+3/4-17/12=-42/12+9/12-17/12=-50/12=-25/6

b/  3/4+[-9/5]-4/3=45/60-108/60-80/60=-142/60=-71/30

c/   -1/12-[21/3-1/3]=-1/12-20/3=-1/12-80/12=-81/12=-27/4

d/  22/7.[-7/11]+18= -2+18=16

e/   [3/4+2/3]:17/4-3/4=[9/12+8/12]:17/4-3/4=17/12:17/14-3/4=14/12-3/4=14/12-9/12=5/12

17 tháng 9 2015

\(A=\frac{3.\left(\frac{1}{7}-\frac{1}{17}+\frac{1}{37}\right)}{5.\left(\frac{1}{7}-\frac{1}{17}+\frac{1}{37}\right)}+\frac{1.\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}\right)}{\left(-7\right).\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}\right)}\)

\(A=\frac{3}{5}+\frac{-1}{7}\)

\(A=\frac{21}{35}+\frac{-5}{35}\)

\(A=\frac{16}{35}\)

17 tháng 9 2015

\(A=\frac{\frac{3}{7}-\frac{3}{17}+\frac{3}{37}}{\frac{5}{7}-\frac{5}{17}+\frac{5}{37}}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}}{\frac{7}{5}-\frac{7}{4}+\frac{7}{3}-\frac{7}{2}}\)

\(=\frac{3.\left(\frac{1}{7}-\frac{1}{17}+\frac{1}{37}\right)}{5.\left(\frac{1}{7}-\frac{1}{17}+\frac{1}{37}\right)}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}}{-\frac{7}{2}+\frac{7}{3}-\frac{7}{4}+\frac{7}{5}}\)

\(=\frac{3}{5}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}}{-7.\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}\right)}\)

=3/5+(1/-7)

=3/5-1/7

=16/35

26 tháng 8 2018

a ) 11/125

b ) 1

1) \(\frac{17}{6}-\left(x-\frac{7}{6}\right)=\frac{7}{4}\)

\(\Rightarrow x-\frac{7}{6}=\frac{17}{6}-\frac{7}{4}\)

\(\Rightarrow x=\frac{13}{12}+\frac{7}{6}=\frac{9}{4}\)

2) \(\frac{3}{35}-\left(\frac{3}{5}-x\right)=\frac{2}{7}\)

\(\Rightarrow\)\(\frac{3}{5}-x=\frac{3}{35}-\frac{2}{7}=-\frac{1}{5}\)

\(\Rightarrow x=\frac{3}{5}-\left(-\frac{1}{5}\right)=\frac{4}{5}\)

3) 4) Hjhj^_^^_^

29 tháng 8 2015

\(A=\frac{3\left(\frac{1}{7}-\frac{1}{17}+\frac{1}{37}\right)}{5\left(\frac{1}{7}-\frac{1}{17}+\frac{1}{37}\right)}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}}{7\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}\right)}=\frac{3}{5}+\frac{1}{7}=\frac{26}{35}\)

29 tháng 8 2015

\(A=\frac{\frac{3}{7}-\frac{3}{17}+\frac{3}{37}}{\frac{5}{7}-\frac{5}{17}+\frac{5}{37}}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}}{\frac{7}{5}-\frac{7}{4}+\frac{7}{3}-\frac{7}{2}}=\frac{3.\left(\frac{1}{7}-\frac{1}{17}+\frac{1}{37}\right)}{5.\left(\frac{1}{7}-\frac{1}{17}+\frac{1}{37}\right)}+\frac{\frac{-1}{5}+\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{\frac{-7}{2}+\frac{7}{5}-\frac{7}{4}+\frac{7}{3}}\)

\(A=\frac{3}{5}+\frac{\frac{1}{2}-\frac{1}{5}-\frac{1}{3}+\frac{1}{4}}{\frac{7}{5}-\frac{7}{2}-\frac{7}{4}+\frac{7}{3}}=\frac{3}{5}+\frac{\frac{1}{20}}{7.\frac{-13}{60}}=\frac{3}{5}+\frac{-3}{91}=\frac{258}{455}\)