Mathématiques

Question

Voici deux nombres A et B.
A= 1/2+2/3×3/4+4/5+5/6+6/7+7/8+8/9
B=1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9
Calculer A+B

2 Réponse

  • A+B=
    =(1/2+2/3×3/4+4/5+5/6+6/7+7/8+8/9)+(1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9)
    =(1/2+1/2+4/5+5/6+6/7+7/8+8/9)+(9/18+6/18+1/4+1/5+3/18+1/7+1/8+2/18)
    =85/12
  • A= 1/2+2/3+3/4+4/5+5/6+6/7+7/8+8/9 +1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9
    a = 1/2 +1/2 +2/3 +1/3 +3/4+1/4 +4/5+1/5 +5/6+1/6 +6/7+1/7 +7/8+1/8 +8/9+1/9
    a = 2/2 +3/3+4/4+5/5 +6/6 +7/7 + 8/8 +9/9
    a = 1 +1 +1 +1 +1 +1 +1 +1
    a =8

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