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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: Tính nhanh a) ( $\frac{-1}{4}$ ) . ( 6$\frac{2}{11}$ ) + 3$\frac{9}{11}$ . ( $\frac{-1}{4}$ ) b) 15$\frac{2}{3}$ . ( $\frac{-1}{5}$ )

Toán Lớp 7: Tính nhanh
a) ( $\frac{-1}{4}$ ) . ( 6$\frac{2}{11}$ ) + 3$\frac{9}{11}$ . ( $\frac{-1}{4}$ )
b) 15$\frac{2}{3}$ . ( $\frac{-1}{5}$ ) + 9$\frac{2}{3}$ . ( $\frac{-1}{5}$ )
c) 15$\frac{3}{4}$ . $\frac{-1}{3}$ + 14$\frac{1}{4}$ . ( $\frac{-1}{3}$ )

Comments ( 2 )

  1. a) ((-1)/4).(6 2/11)+3 9/11 . ((-1)/4)
    =(-1)/4  .(6 2/11+3 9/11)
    =(-1)/4 . (6+2/11+3+9/11)
    =(-1)/4 . [(6+3)+(2/11+9/11)]
    =(-1)/4 . [9+11/11]
    =(-1)/4 . (9+1)
    =(-1)/4 . 10
    =-10/4
    =-5/2
    b) 15 2/3 . ((-1)/5)+9 2/3 . ((-1)/5)
    =(-1)/5 . (15 2/3+9 2/3)
    =(-1)/5 . (15+2/3+9+2/3)
    =(-1)/5 . [(15+9)+(2/3+2/3)]
    =(-1)/5 . (24+4/3)
    =(-1)/5 . (72/3+4/3)
    =(-1)/5 . 76/3
    =-76/15
    c) 15 3/4 . ((-1)/3)+14 1/4 . ((-1)/3)
    =(-1)/3 . (15 3/4+14 1/4)
    =-1/3 . (15+3/4+14+1/4)
    =-1/3 . [(15+14)+(3/4+1/4)]
    =-1/3 . (29+4/4)
    =-1/3 . (29+1)
    =-1/3 . 30
    =-10

  2. a, ({-1}/4) . ( 6 2/11) + 3 9/11 . ({-1}/4)
    = ({-1}/4) . ( 68/11) + 42/11 . ({-1}/4)
    = ({-1}/4) . 110/11
    = ({-1}/4) . 10
    ={-10}/4
    b, 15 2/3 . ( {-1}/5 ) + 9 2/3 . ( {-1}/5 )
    = 47/3 . ( {-1}/5 ) + 23/3 . ( {-1}/5 )
    = ( {-1}/5 ) . ( 47/3 + 23/3 )
    = ( {-1}/5 ) . 70/3
    = (-70)/15
    c, 15 3/4 . {-1}/3 + 14 1/4 . ( {-1}/3 )
    = 63/4 . {-1}/3 + 57/4 . ( {-1}/3 )
    = {-1}/3 . ( 63/4 + 57/4 )
    = {-1}/3 . 120/4
    = {-1}/3 . 30
    = -10
     

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222-9+11+12:2*14+14 = ? ( )

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