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

Toán Lớp 6: Câu 1 (3/8+(-3)/4+7/12):5/6+1/2 Câu2 2/3.5+2/5.7+2/7.9+…+2/99.101

Toán Lớp 6: Câu 1
(3/8+(-3)/4+7/12):5/6+1/2
Câu2
2/3.5+2/5.7+2/7.9+…+2/99.101

Comments ( 2 )

  1. Câu 1:
    (3/8 + (-3)/4 + 7/12) : 5/6 + 1/2
    = (3/8 – 3/4 + 7/12) . 6/5 + 1/2
    = (3/8 – 6/8 + 7/12) . 6/5+ 1/2
    = ((-3)/8 + 7/12) . 6/5 + 1/2
    = ((-18)/48 + 28/48) . 6/5 + 1/2
    = 5/24 . 6/5 + 1/2
    = 1/4 + 2/4
    = 3/4
    Câu 2:
    2/(3.5) + 2/(5.7) + 2/(7.9) + … + 2/(99.101)
    = 1/3 – 1/5 + 1/5 – 1/7 + … + 1/99 – 1/101
    = 1/3 – 1/101
    = 98/303

  2. Giải đáp:
     Câu 1:
    (3/8 + (-3)/4 + 7/12) : 5/6 +1/2
    = ( 9/24 – 18/24 + 14/24) : 5/6 + 1/2
    = 5/14 : 5/6 + 1/2
    = 6/14 + 1/2
    = 6/14 + 7/14
    = 13/14
    Câu 2:
    2/(3 . 5) + 2/(5 . 7) + 2/(7 . 9) + …………….. + 2/(99 . 101)
    = 1/3 – 1/5 + 1/5 – 1/7 + …………….. + 1/99 – 1/101
    = 1/3 – (1/5 – 1/5) – (1/7 – 1/7) -……… – (1/99 – 1/99) – 1/101
    = 1/3 – 0 – 0 – ………….. – 0 – 1/101
    = 1/3 – 1/101
    = 101/303 – 3/303
    = 98/303
     

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