Bonsoir,
A = (12/-5) / (4/-15) = -(12/5) / -(4/15) = (12/5) * (15/4) = (12/4) * (15/5) = 3 * 3 = 9
Le tiers de 1/6 = (1/3) * 1/6 = 1 / (3 * 6) = 1/18
Son inverse est B = 18
C = (42/5) * 5/7 - (5/7) * (-21) = (42/7) * 5/5 + (5/7) * 21
C = 6 * 1 + 5 * 21/7 = 6 + 5 * 3 = 6 + 15 = 21
D = (2/3 + 4/9) : 10/216 = (6/9 + 4/9) * 216/10 = 10/9 *216/10
D = 216/9 * 10/10 = 216/9 = 24
E = 5/2 + 3/16 * 24 = 5/2 + 3 * 3 * 8 / (2*8) = 5/2 + 9/2 = 14/2 = 7
F = (3/-4) * (-8/21) * (13/-6) * 35/3 * (-9/5)
Le produits de 4 nombres négatifs est un nombre positif.
F = 3/4 * 8/21 * 13/6 * 35/3 * 9/5
F = (3 * 8 * 13 * 35 * 9) / (4 *21 * 6 * 3 *5)
F = 2³ * 3³ * 5 * 7 * 13) / (2³ * 3³ * 5 * 7) = 13
G = -14/3 * 21/(-2) - 169/13 * 2 + 3 = -14/2 * 21/3 - 13²/13 * 2 + 3
G = 7 * 7 - 13 * 2 + 3 = 49 - 26 + 3= 26
H = -5/7 * (-3/8 - 1/2) : 5/96 = -5/7 * ((-3 - 4) / 8) * 96/5
H = 5/7 * 7/8 * 96/5 = 96/8 = 12
L'ordre des lettres est donc : 18 - 9 - 6 - 3 - 20 - 14 - 1 - 15
Soit R - I - F - C - T - N - A - O
Le code est donc FRACTION
ou FRONCAIT :-)
