Sagot :
Bonjour
Simplifiez les fractions suivantes.
40/72 = (8 x 5) / (8 x 9) = 5/9
- 15/35 = (5 x - 3) / (5 x 7) = - 3/7
25/150 = (25 x 1) / (25 x 6) = 1/6
Bonjour ! J'espère vous aider !
Réponse :
On applique la décomposition en facteur premier.
1) 40/72
40 = 5*8
8 = 2*4
4 = 2*2
2 = 2*1
40 = 5*2*2*2
72 = 3*24
24 = 3*8
8 = 2*4
4 = 2*2
2 = 2*1
72 = 3*3*2*2*2
40/727 = 5*2*2*2/3*3*2*2*2 = 5/3*3 = 5/9
2) -15/35
-15 = -3*5
5 = 5*1
-15 = -3*5
35 = 5*7
7 = 7*1
35 = 5*7
-15/35 = -3*5/5*7 = -3/7
3) 25/150
25 = 5*5
5 = 5*1
25 = 5*5
150 = 5*30
30 = 5*6
6 = 3*2
2 = 2*1
150 = 5*5*3*2
25/150 = 5*5/5*5*3*2 = 1/6