a,(-1/2)+3/5-7/18-(-2/7)-1/9+4/35 b,1/3+(-7/4)+1/15-2/9-(-3/5)-1/36

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1. `a,(-1/2)+3/5-7/18-(-2/7)-1/9+4/35`

   `= -1/2 + 3/5 – 7/18 + 2/7 – 1/9 + 4/35`

   `= ( -1/2 – 7/18 – 1/9 ) + ( 3/5 + 2/7 + 4/35 )`

   `= ( -9/18 – 7/18 – 2/18 ) + ( 21/35 + 10/35 + 4/35 )`

   `= -18/18 + 35/35`

   `= -1 + 1 `

   `= 0`

   `b,1/3+(-7/4)+1/15-2/9-(-3/5)-1/36`

   `= 1/3 – 7/4 + 1/15 – 2/9 + 3/5 – 1/36`

   `= ( 1/3 – 2/9 ) + ( -7/4 – 2/9 – 1/36 ) + 1/15`

   `= ( 2/9 – 2/9 ) + ( -63/36 – 8/36 – 1/36 ) + 1/15`

   `= -72/36 + 1/15`

   `= -2 + 1/15`

   `= -30/15 + 1/15`

   `= -29/15`

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2. CHÚC BẠN HỌC TỐT!!!

   Đáp án:

    $a, 0$

   $b, -1$

   Giải thích các bước giải:

   $a, \dfrac{-1}{2}+\dfrac{3}{5}-\dfrac{7}{18}-\dfrac{-2}{7}-\dfrac{1}{9}+\dfrac{4}{35}$

   $=\bigg{(}\dfrac{-1}{2}-\dfrac{7}{18}-\dfrac{1}{9}\bigg{)}+\bigg{(}\dfrac{3}{5}-\dfrac{-2}{7}+\dfrac{4}{35}\bigg{)}$

   $=\bigg{(}\dfrac{-9}{18}-\dfrac{7}{18}-\dfrac{2}{18}\bigg{)}+\bigg{(}\dfrac{21}{35}+\dfrac{10}{35}+\dfrac{4}{35}\bigg{)}$

   $=-\dfrac{18}{18}+\dfrac{35}{35}$

   $=-1+1=0$

   $b, \dfrac{1}{3}+\dfrac{-7}{4}+\dfrac{1}{15}-\dfrac{2}{9}-\dfrac{-3}{5}-\dfrac{1}{36}$

   $=\bigg{(}\dfrac{1}{3}+\dfrac{1}{15}-\dfrac{-3}{5}\bigg{)}+\bigg{(}\dfrac{-7}{4}-\dfrac{2}{9}-\dfrac{1}{36}\bigg{)}$

   $=\bigg{(}\dfrac{5}{15}+\dfrac{1}{15}+\dfrac{9}{15}\bigg{)}-\bigg{(}\dfrac{63}{36}-\dfrac{8}{36}-\dfrac{1}{36}\bigg{)}$

   $=\dfrac{15}{15}-\dfrac{72}{36}$

   $=1-2=-1$

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