Exercice 1: Calculer les expressions suivantes et donner le résultat sous forme d'une fraction irréductible. A= -3 (sur) 4 - 5 (sur) 6 B= -17(sur)56 x 28(sur)51 C=(2(sur)3+7(sur)4) x 3(sur)58 D=3(sur)7 x (5(sur)3-1) +
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A = 3/4 - 5/6 = 9/12 - 10/12 = -1/12 B = 17/56 x 28/51 = 17x7x2x2 / 7x4x2x17x3 = 2 / 2x2x3 = 1/6 C = (2/3 + 7/4) x 3/58 = (8/12 + 21/12) x 3/58 = 29/12 x 3/58 = 5x4x3x3x3 / 3x4x3x3x2x5x10 = 1 / 20 D = 3/7 x 5/3-1 = 15 / 7x2 = 15/14
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B = 17/56 x 28/51 = 17x7x2x2 / 7x4x2x17x3 = 2 / 2x2x3 = 1/6
C = (2/3 + 7/4) x 3/58 = (8/12 + 21/12) x 3/58 = 29/12 x 3/58 = 5x4x3x3x3 / 3x4x3x3x2x5x10 = 1 / 20
D = 3/7 x 5/3-1 = 15 / 7x2 = 15/14