a,2/3+3/4+7/2 b,2 1/3+2/3.(-4/3+1/6):5/6 c, 5/7.19/26+5/7.18/26-5/14.11/13

a,2/3+3/4+7/2
b,2 1/3+2/3.(-4/3+1/6):5/6
c, 5/7.19/26+5/7.18/26-5/14.11/13

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  1. a, $\dfrac{2}{3}$ + $\dfrac{3}{4}$ + $\dfrac{7}{2}$ 

    = $\dfrac{2}{3}$ + ( $\dfrac{3}{4}$ + $\dfrac{7}{2}$ )

    = $\dfrac{2}{3}$ + $\dfrac{17}{4}$

    = $\dfrac{59}{12}$ 

    b, $2$ . $\dfrac{1}{3}$( cái này bị sai đề bạn nha ) + $\dfrac{2}{3}$ . ( $\dfrac{-4}{3}$ + $\dfrac{1}{6}$ ) : $\dfrac{5}{6}$ 

    = $\dfrac{2}{3}$ + $\dfrac{2}{3}$ . $\dfrac{-7}{6}$  : $\dfrac{5}{6}$

    = $\dfrac{2}{3}$ + $\dfrac{2}{3}$ . ( $\dfrac{-7}{6}$  : $\dfrac{5}{6}$ ) = $\dfrac{2}{3}$ + $\dfrac{2}{3}$ . $\dfrac{-7}{5}$ = $\dfrac{2}{3}$ . ( $1$ + $\dfrac{-7}{5}$ )

    = $\dfrac{2}{3}$ . $\dfrac{-2}{5}$ =$\dfrac{-4}{15}$ 

    c, $\dfrac{5}{7}$ . $\dfrac{19}{26}$ + $\dfrac{5}{7}$ . $\dfrac{18}{26}$ – $\dfrac{5}{14}$ . $\dfrac{11}{13}$

    = $\dfrac{5}{7}$ . ( $\dfrac{19}{26}$ +  $\dfrac{18}{26}$ ) – $\dfrac{5}{14}$ . $\dfrac{11}{13}$

    = $\dfrac{5}{7}$ . $\dfrac{27}{26}$ – $\dfrac{5}{14}$ . $\dfrac{11}{13}$

    = $\dfrac{5}{7}$ . $\dfrac{27}{26}$ – $\dfrac{5}{7}$ . $\dfrac{1}{2}$ .  $\dfrac{11}{13}$

    = $\dfrac{5}{7}$ . ( $\dfrac{27}{26}$ – $\dfrac{1}{2}$ .  $\dfrac{11}{13}$ ) = $\dfrac{5}{7}$ . ( $\dfrac{27}{26}$ – $\dfrac{11}{26}$ ) = $\dfrac{5}{7}$ . $\dfrac{8}{13}$ = $\dfrac{40}{91}$ 

    # Try _ hard _ together

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  2. `2/3 + 3/4 + 7/2`

    `= 8/12 + 9/12 + 42/12`

    `= (8 + 9 + 41)/12`

    `= 59/12`

    `2 1/3 + 2/3 . ((-4)/3 + 1/6) : 5/6`

    `= 7/3 + 2/3 . ((-8)/6 + 1/6) . 6/5`

    `= 7/3 + 2/3 . (-7)/6 . 6/5`

    `= 7/3 + (-14)/15`

    `= 7/5`

    `5/7 . 19/26 + 5/7 . 18/26 – 5/14 . 11/13`

    `= 5/7 . 19/26 + 5/7 . 18/26 – 5/7 . 1/2 . 11/13`

    `= 5/7 . (19/26 + 18/26 – 1/2 . 11/13)`

    `= 5/7 . 1`

    `= 5/7`

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