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

Toán Lớp 6: 1, a,<1-1/4><1-1/9><1-1/16><1-1/25>=–<1-1/100> b,2/3+2/15+2/21 // 3/4+3/20+3/28 nhanhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Toán Lớp 6: 1,
a,<1-1/4><1-1/9><1-1/16><1-1/25>………………..<1-1/100>
b,2/3+2/15+2/21 // 3/4+3/20+3/28
nhanhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a, ( 1 – 1/4 ) . ( 1 – 1/9 ) . ( 1 – 1/16 ) . ( 1 – 1/25 ) ……….. ( 1 – 1/100 )
    = 1.3/2^2 . 2.4/3^2 . 3.5/4^2 . 4.6/5^2 ………. 9.11/10^2
    = (1.2.3.4 ………. 9)/(2.3.4.5 ……… 10) . (3.4.5.6 ……….. 11)/(2.3.4.5 ………. 10)
    = 1/10 . 11/2
    = 11/20
    b, (2/3 + 2/15 + 2/21)/(3/4 + 3/20 + 3/28)
    = ( 2/3 . ( 1 + 1/5 + 1/7 ))/( 3/4 . ( 1 + 1/5 + 1/7 ))
    = 2/3 : 3/4
    = 8/9 
     

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a) (1-1/4).(1-1/9).(1-1/16)…(1-1/100)
    =3/4*8/9*15/16*…*99/100
    =(3.8.15…99)/(4.9.16…100)
    =(1.3.2.4.3.5…9.11)/(2.2.3.3.4.4…10.10)
    =((1.2.3…9).(3.4.5…11))/((2.3.4…10).(2.3.4…10))
    =(1.11)/10.2
    =11/20
    b) $\dfrac{\dfrac23+\dfrac2{15}+\dfrac2{21}}{\dfrac34+\dfrac3{20}+\dfrac3{28}}\\=\dfrac{\dfrac{8}{12}+\dfrac{8}{60}+\dfrac{8}{84}}{\dfrac{9}{12}+\dfrac{9}{60}+\dfrac{9}{84}}\\=\dfrac{8.\left(\dfrac{1}{12}+\dfrac{1}{60}+\dfrac{1}{84}\right)}{9.\left(\dfrac{1}{12}+\dfrac{1}{60}+\dfrac{1}{84}\right)}\\=\dfrac{8}{9}$

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