Mathématiques

Question

Bonjour quelqu’un pourrait m’aider pour cet exercice svp merci d’avance.
Bonjour quelqu’un pourrait m’aider pour cet exercice svp merci d’avance.

1 Réponse

  • Bonjour

    Complète (voir pièce jointe) :

    Somme :

    = 9/8 + 3/4 + 7/8 + 3/2

    = 9/8 + 6/8 + 7/8 + 12/8

    = 34/8

    = 17/4

    Diagonale :

    1/2 + 3/4 + 11/8 + ... = 17/4

    ... = 17/4 - 2/4 - 3/4 - 11/8

    ... = 12/4 - 11/8

    ... = 24/8 - 11/8

    ... = 13/8

    4eme colonne :

    13/8 + ... + 3/2 + 1/8 = 17/4

    ... = 34/8 - 13/8 - 1/8 - 12/8

    .. = 34/8 - 26/8

    ... = 8/8

    ... = 1

    2eme ligne :

    ... + 5/4 + 11/8 + 1 = 17/4

    ... = 34/8 - 10/8 - 11/8

    ... = 34/8 - 21/8

    ... = 13/8

    1ère colonne :

    ... + 13/8 + 9/8 + 1/2 = 17/4

    ... = 34/8 - 13/8 - 9/8 - 4/8

    ... = 34/8 - 26/8

    ... = 8/8

    ... = 1

    1ère ligne :

    1 + ... + 1/4 + 13/8 = 17/4

    ... = 34/8 - 8/8 - 2/8 - 13/8

    ... = 34/8 - 23/8

    ... = 11/8

    2eme colonne :

    11/8 + 5/4 + 3/4 + ... = 17/4

    ... = 34/8 - 11/8 - 10/8 - 6/8

    ... = 34/8 - 27/8

    ... = 7/8

    4eme ligne :

    1/2 + 7/8 + ... + 1/8 = 17/4

    ... = 34/8 - 4/8 - 7/8 - 1/8

    ... = 34/8 - 12/8

    ... = 22/8

    ... = 11/4

    Produit :

    = 1/2 x 1/3 x 2/9

    = 2/2 x 1/3 x 1/9

    = 1/27

    Diagonale :

    1/5 x 1/3 x ... = 1/27

    ... = (3 x 5)/27

    ... = (3 x 5)/(3 x 9)

    ... = 5/9

    1ère colonne :

    1/2 x ... x 5/9 = 1/27

    ... = (9 x 2)/(5 x 27)

    ... = (9 x 2)/(5 x 3 x 9)

    ... = 2/15

    1ère ligne :

    1/2 x ... x 1/5 = 1/27

    ... = (5 x 2)/27

    ... = 10/27

    2eme ligne :

    2/15 x 1/3 x ... = 1/27

    ... = (3 x 15)/(2 x 27)

    ... = (9 x 5)/(2 x 3 x 9)

    ... = 5/6

    3eme ligne :

    5/9 x ... x 2/9 = 1/27

    ... = (9 x 9)/(5 x 2 x 27)

    ... = (27 x 3)/(10 x 27)

    ... = 3/10

    Image en pièce jointe de la réponse loulakar