Bonjour,
On a
364 = 2 * 182 = 2 * 2 * 91 = 2 * 2 * 7 * 13
455 = 5 * 91 = 5 * 7 * 13
Donc
17/364 + 19/455 = 17 / (4 * 91) + 19 / (5 * 91)
17/364 + 19/455 = (17 *5) / (4 * 5 * 91) + (19*4) / (4 * 5 * 91)
17/364 + 19/455 = (17 *5 + 19*4) / (4 * 5 * 91)
17/364 + 19/455 = (85 + 76) / (1820) = 161/1820 = (7 * 23) / (7 * 260)
17/364 + 19/455 = 23/260
