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

Toán Lớp 5: tính nhanh 3/4 : 2/3 +1/4:2/3 13/47+13/24+34/47+13/24 A=1/1×2 +1/2×3 +==1 /19×20

Toán Lớp 5: tính nhanh
3/4 : 2/3 +1/4:2/3
13/47+13/24+34/47+13/24
A=1/1×2 +1/2×3 +……………………1 /19×20

Comments ( 2 )

  1. 3/4 : 2/3 + 1/4 : 2/3
    = 3/4 xx 3/2 + 1/4 xx 3/2
    = 3/2 xx ( 3/4 + 1/4 )
    = 3/2 xx 1
    = 3/2
    ___________________________________
    13/47 + 13/24 + 34/47 + 13/24
    = ( 13/47 + 34/47 ) + ( 13/24 + 13/24 )
    = 1 + 13/12
    = 25/12
    ____________________________________
    A = 1/( 1 xx 2 ) + 1/( 2 xx 3 ) + …. + 1/( 19 xx 20 )
    A = 1/1 – 1/2 + 1/2 – 1/3 + …. + 1/19 – 1/20
    A = 1 – ( 1/2 – 1/2 ) – ( 1/3 – 1/3 ) – …. – ( 1/19 – 1/19 ) – 1/20
    A = 1 – 0 – 0 – …. – 0 – 1/20
    A = 1 – 1/20
    A = 19/20
     

  2. Giải đáp + Lời giải và giải thích chi tiết:
    3/4 \div 2/3 + 1/4 \div 2/3
    = (3/4+1/4) \div 2/3
    = 4/4 \div 2/3
    = 1 \div 2/3
    = 3/2
    $\\$
    13/47 + 13/24 + 34/47 + 13/24
    = (13/47 + 34/47) + (13/24 + 13/24)
    =  47/47 + 26/24
    = 1 + 26/24
    = 24/24 + 26/24
    = 50/24
    = 25/12
    $\\$
    Ta có :
    1/(1xx2) = 1 – 1/2
    1/(2xx3) = 1/2 – 1/3
    Cứ thế , ta được :
    A = 1/(1xx2) + 1/(2xx3) + … + 1/(19xx20)
    = 1 – 1/2 + 1/2 – 1/3 + … + 1/19 – 1/20
    = 1 – 1/20
    = 20/20 – 1/20
    = 19/20

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