Mathématiques

Question

Effectuer les calculs fractionnaires en simplifiant les résultats.
50 pour-cent.
(1/2-1/8) multiplier 4/3.
5/3 multiplier (1/10+1/5)
(1-3/10) multiplier ( 1-2/7)
1-3/4 multiplier 2/3.
210:420.
9/36.
8/32.

2 Réponse

  • bonjour

    50/100 = 1/2
    ( 4/8 - 1/8) x 4/3 = 3/8 x 4/3 = 12/24 = 1/2
    5/3 x ( 1/10 + 2/10) = 5/3 x 3/10 = 15/30 = 1/2
    ( 10/10 - 3/10) x (7/7 - 2/7) =  7/10 x 5/7 = 35/70 = 1/2
    210/420 = 1/2
    9/36 = 1/4
    8/32 = 1/4
  • 50 % = 50/100 = 1/2

    (1/2 - 1/8) x 4/3
    = (1 x 4 / 2 x 4 - 1/8) x 4/3
    = (4/8 - 1/8) x 4/3
    = 3/8 x 4/3
    = 12/24
    = 12 x 1 / 12 x 2
    = 1/2

    5/3 x (1/10 + 1/5)
    = 5/3 x (1/10 + 1 x 2 / 5 x 2)
    = 5/3 x (1/10 + 2/10)
    = 5/3 x 3/10
    = 15/30
    = 15 x 1 / 15 x 2
    = 1/2

    (1 - 3/10) x (1 - 2/7)
    = (1 x 10 / 3 x 10 - 3/10) x (1 x 7/ 1 x 7 - 2/7)
    = (10/10 - 30/10) x (7/7 - 2/7)
    =  7/10 x 5/7
    = 35/70
    = 35 x 1 / 35 x 2
    = 1/2

    1 - 3/4 x 2/3
    = 1 - 6/12
    = 1 x 12 / 1 x 12 - 6/12
    = 12/12 - 6/12
    = 6/12
    = 6 x 1 / 6 x 2
    = 1/2

    210/420
    = 210 x 1 / 210 x 2
    = 1/2

    9/36
    = 9 x 1 / 9 x 4
    = 1/4

    8/32
    = 8 x 1 / 8 x 4
    = 1/4

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