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

Toán Lớp 6: (1/20+1/30+1/42+1/56+1/72+1/90)xX-101010/202020

Tháng Hai 22, 2023 Toán học 0 Comments 0 views

Toán Lớp 6: (1/20+1/30+1/42+1/56+1/72+1/90)xX-101010/202020

Comments ( 2 )

  1. trucoanh55
    trucoanh55
    22 Tháng Hai, 2023 at 10:31 sáng
    Reply
    Giải đáp: x = 10/3
    Lời giải và giải thích chi tiết:
    (1/20+1/30+1/42+1/56+1/72+1/90)x = 101010/202020
    ⇔(1/4 × 1/5 + 1/5× 1/6 + 1/6 × 1/7 + 1/7 × 1/8 + 1/8 × 1/9 + 1/9 × 1/10)x =  1/2
    ⇔(1/4 – 1/5 + 1/5 – 1/6 + 1/6 – 1/7 + 1/7 – 1/8 + 1/8 – 1/9 + 1/9 – 1/10)x =  1/2
      ⇔(1/4 – 1/10)x =  1/2
    ⇔3/20 × x = 1/2
    ⇔x = 1/2 ÷ 3/20
    ⇒ x = 10/3

  2. lanngocha
    lanngocha
    22 Tháng Hai, 2023 at 10:30 sáng
    Reply
    (1/20 + 1/30 + 1/42 + 1/56 + 1/72 + 1/90) x = 101010/202020
    => ( 1/4.5 + 1/5.6 + 1/6.7 + 1/7.8 + 1/8.9 + 1/9.10) x = (10.10101)/(20 . 10101)
    => ( 1/4 – 1/5 + 1/5 – 1/6 +….+ 1/9 – 1/10) x = 1/2
    => (1/4 – 1/10) x = 1/2
    => (  10/40 – 4/40) x= 1/2
    => 3/20 x = 1/2
    => x= 1/2 : 3/20
    => x= 1/2 . 20/3
    => x= 10/3
    Vậy x= 10/3
     

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

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