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
