Mathématiques

Question

"Calculer & donner le résultat sous la forme d'une fraction irréductible"
1). -3/4 - 2/5
2) 15/49 × 28/35
3) 2/3 × 9/4 × 8/10
4) 8/21÷4/7
5). -12/9÷ -28/27

2 Réponse

  • 1). -3/4 - 2/5 = - 3 x 5 / 4 x 5 - 2 x 4 / 5 x 4 = - 15/20 - 8/20 = - 23/20

    2) 15/49 × 28/35 = 420/1715 = 35 x 12 / 35 x 49 = 12/49

    3) 2/3 × 9/4 × 8/10 = 18/12 x 8/10 = 144/120 = 24 x 6 / 24 x 5 = 6/5

    4) 8/21 ÷ 4/7 = 8/21 x 7/4  = 56/84 = 28 x 2 / 28 x 3 = 2/3

    5). -12/9 ÷  - 28/27 = - 12/9 x - 27/28 = 324/252 = 36 x 9 / 36 x 7 = 9/7

  • - 3/4 - 2/5
    = - 15/20 - 8/20
    = - 23/20

    15/49 × 28/35 
    = (15 * 28)/(49 * 35)
    = 420/1715
    = 12/49

     2/3 × 9/4 × 8/10
    = (2*9*8)/(3*4*10)
    = 144/120
    = 6/5

    8/21 ÷ 4/7
    = 8/21 * 7/4
    = 56/84
    = 2/3

     
    - 12/9 ÷ -28/27
    = 12/9 * 27/28
    = 324/252
    = 9/7

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