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exercice 8 fiche 3 : calculer et donné le résultat sous la forme d'une faction irréductible I = 13/8 +5/2 + 3/4 J = 5/12-1/6+11/24 K = 2+3/7-11/24 L = 3/5-4/15-7/30
exercice 8 fiche 3 : calculer et donné le résultat sous la forme d'une faction irréductible I = 13/8 +5/2 + 3/4 J = 5/12-1/6+11/24 K = 2+3/7-11/24 L = 3/5-4/15-7/30
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Verified answer
I = 25/21 - 4/7 + 1/7
= 25/21 - 4×3 / 7×3 + 1×3 / 7×3 (même dénominateur)
= 25/21 - 12/21
= 16/21
J = 25/21 - (4/7 + 1/7)
= 25/21 -(5/7)
= 25/21 - 5/7
= 25/21 - 5×3 / 7×3
= 25/21 - 15/21
= 10/21
K = 7/5 - (7/15 +7/45)
= 7/5 - (7×3/15×3 + 7/45)
= 7/5 - (21/45 + 7/45)
= 7/5 - (28/49)
= 7/45
L= 2- (7/8 -1/3)
= 2/1 - 7×3 / 8×3 - 1×8 / 3×8)
= 2/1 - (21/24 - 8/24)
= 2/1 - (13/24)
= 2/1 - 13/24
= 2×12
= 24
= 11