a) 7/2.-9/14.7/3 b) (-1/2)^2.7/9+25%.2/9-2 3/4 c) (8 12/13-4 3/5) – (3 2/5 -1/13)

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1. Đáp án:

    

   Giải thích các bước giải:

    a)7/2.-9/14.7/3

   =7/(-9).7/2.14.3

   = 7.(-3).3.7/2.2.7.3

   = -21/4

   b) (-1/2)^2.7/9+25%.2/9-2 3/4

   = 1/4.7/9+25/100.2/9-11/4

   = 1/4.7/9+25/100.2/9+-11/4

   =1/4.7/9+1/4.2/9+-11/4

   = 1/4.(7/9+2/9)+-11/4

   = 1/4.9/9+-11/4

   = 1/4.1+-11/4

   =1/4+-11/4

   =-10/4=-5/2

   c) (8 12/13-4 3/5) – (3 2/5 -1/13)

   = (116/13-23/5)-(17/5-1/13)

   = 116/13-23/5-17/5-1/13

   =(116/13-1/13)-(23/5-17/5)

   = 115/13-6/5

   = 575/65-78/65

   = 497/65

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2. $Giải:$

   $a)$$\dfrac{7}{2}$ $.$$\dfrac{-9}{14}$ .$\dfrac{7}{3}$ 
   =$-$$\dfrac{9}{4}$ . $\dfrac{7}{3}$ 
   =$\dfrac{-21}{4}$ 

   $b)$($\dfrac{-1}{2}$ )$^2.$ $\dfrac{7}{9}$ + 25 % . $\dfrac{2}{9}$ – $2$$\dfrac{3}{4}$ 
   =$\dfrac{1}{4}$ $.$ $\dfrac{7}{9}$ + $\dfrac{25}{100}$ .$\dfrac{2}{9}$ – $\dfrac{11}{4}$ 
   =$\dfrac{1}{4}$ $.$ $\dfrac{7}{9}$ + $\dfrac{1}{4}$ .$\dfrac{2}{9}$ – $\dfrac{11}{4}$ 
   =$\dfrac{1}{4}$ .($\dfrac{7}{9}$ + $\dfrac{2}{9}$ ) -$\dfrac{11}{4}$ 
   =$\dfrac{1}{4}$ .$\dfrac{9}{9}$ -$\dfrac{11}{4}$ 
   =$\dfrac{1}{4}$ $.1$ -$\dfrac{11}{4}$ 
   =$\dfrac{1}{4}$-$\dfrac{11}{4}$ 
   =-$\dfrac{5}{2}$ 

   $c)$($8\dfrac{12}{13}$ – $4\dfrac{3}{5}$ ) -($3\dfrac{2}{5}$ – $\dfrac{1}{13}$ )
   =$8\dfrac{12}{13}$ – $4\dfrac{3}{5}$-$3\dfrac{2}{5}$ – $\dfrac{1}{13}$
   =($8\dfrac{12}{13}$-$\dfrac{1}{13}$) – ($4\dfrac{3}{5}$-$3\dfrac{2}{5}$)
   =$\dfrac{115}{13}$ – $\dfrac{6}{5}$ 
   =$\dfrac{467}{65}$ 

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