Bonsoir
les calculs sont dans le désordre je te laisse mettre les couleurs car pas très lisible le codage :
3/12 + (5/2 - 3/4)
= 3/12 + (5 x 6)/(2 x 6) - (3 x 3)/(4 x 3)
= 3/12 + 30/12 - 9/12
= 24/12
= (12 x 2)/12
= 2
(2 + 9)/(5 - 3)
= 11/2
= 5,5
7/12 + 9/4 - 5/6
= 7/12 + (9 x 3)/(4 x 3) - (5 x 2)/(6 x 2)
= 7/12 + 27/12 - 10/12
= 24/12
= 2
7/3 - 2/3 x 7/8
= 7/3 - (2 x 7)/(3 x 8)
= 7/3 - 7/12
= 28/12 - 7/12
= 21/12
= (3 x 7)/(3 x 4)
= 7/4
= 1,75
72/24
= (24 x 3)/24
= 3
105/21
= (5 x 21)/21
= 5
3/4 x 21/18
= (3 x 21)/(4 x 18)
= (3 x 3 x 7)/(4 x 2 x 9)
= 7/8
= 0,875
27/100
= 0,27
15/8 x 7/10
= (15 x 7)/(8 x 10)
= (3 x 5 x 7)/(8 x 2 x 5)
= 21/16
= 1,3125
8/16
= 8/(2 x 8)
= 1/2
= 0,5
15/8 x 12/9
= (15 x 12)/(8 x 9)
= (9 x 5 x 4)/(2 x 4 x 9)
= 5/2
= 2,5
100%
= 100/100
= 1
5/12 - (2/9 + 1/36)
= 5/12 - [(2 x 4)/(9 x 4) + 1/36]
= 5/12 - (8/36 + 1/36)
= 5/12 - 9/36
= (5 x 3)/(12 x 3) - 9/36
= 15/36 - 9/36
= 6/36
= 1/6
~ 0,1666…
1/2 x 8/6 x 3/2
= (1 x 8 x 3)/(2 x 6 x 2)
= 24/24
= 1
6/15 x 10/4
= (6 x 10)/(15 x 4)
= 60/60
= 1
3/8 x 24/7 x 14/18
= (3 x 24 x 14)/(8 x 7 x 18)
= (3 x 3 x 8 x 2 x 7)/(8 x 7 x 2 x 9)
= 1
(1/4 + 5/20) x 14/7
= (1/4 + 1/4) x 2
= 2/4 x 2
= 1/4
= 0,25
3/4 x 8/7 + 1/7
= 8/4 x 3/7 + 1/7
= 2 x 3/7 + 1/7
= 6/7 + 1/7
= 7/7
= 1
15/7 x 3/4 x 14/5
= (15 x 3 x 14)/(7 x 4 x 5)
= 15/5 x 3/4 x 14/7
= 3 x 3/4 x 2
= 3 x 3 x 2/4
= 9 x 1/2
= 9/2
= 4,5
(4/14 + 1/7) x 35/5
= (2/7 + 1/7) x 7
= 3/7 x 7
= 3
17/9 + 2/18
= 17/9 + 1/9
= 18/9
= 2
17/34
= 17/(2 x 17)
= 1/2
= 0,5
2/9 x 27/7 x 35/10
= (2 x 27 x 35)/(9 x 7 x 10)
= 2/10 x 27/9 x 35/7
= 1/5 x 3 x 5
= 5/5 x 3
= 3
7/4 - 3/4 x 1/5 - 3/5
= 7/4 - 3/20 - 3/5
= 35/20 - 3/20 - 12/20
= 20/20
= 1
1/6 + 1/2 x 5/3
= 1/6 + 5/6
= 6/6
= 1
2 x (3/4 - 1/8)
= 2 x (6/8 - 1/8)
= 2 x 5/8
= 5/4
= 1,25
3/2 x 9/27
= 27/27 x 2
= 2
3/10 + 2/5 - 4/20
= 6/20 + 8/20 - 4/20
= 10/20
= 1/2
= 0,5
7/2 - 13/8
= 28/8 - 13/8
= 15/8
= 1,875
1/3 + 5/6 x 6/2
= 1/3 + 5/2
= 2/6 + 15/6
= 17/6
~ 2,8333…
(3 - 2/3) x 3/4
= (9/3 - 2/3) x 3/4
= 7/3 x 3/4
= 7/4
= 1,75
154/110
= (2 x 7 x 11)/(2 x 5 x 11)
= 7/5
= 1,4
7/6 + 1/2 x 4/3
= 7/6 + 2/3
= 7/6 + 4/6
= 11/6
~ 1,833…
2 - 4/5 x 1/3
= 2 - 4/15
= 30/15 - 4/15
= 26/15
~ 1,7333…
(4 - 2/3) x 18/25
= (12/3 - 2/3) x 18/25
= 10/3 x 18/25
= 18/3 x 10/25
= 6 x 2/5
= 12/5
= 2,4
15/9 x 1/6 - 1/9
= 5/3 x 1/6 - 2/18
= 5/18 - 2/18
= 3/18
= 1/6
~ 0,16666…
2/7 + 4/3 - 1/21
= 6/21 + 28/21 - 1/21
= 33/21
= 11/7
~ 1,57142…
3/21 + 2/7 - 1/14
= 2/14 + 4/14 - 1/14
= 5/14
~ 0,3571…
3/2 x (1 - 2/3)
= 3/2 x (3/3 - 2/3)
= 3/2 x 1/3
= 1/2
= 0,5
65%
= 65/100
= 0,65
15/33 x (6/3 + 9)
= 5/11 x (2 + 9)
= 5/11 x 11
= 5
(1/4 + 1/8) + (5/16 - 3/16)
= 2/8 + 1/8 + 2/16
= 3/8 + 1/8
= 4/8
= 1/2
= 0,5
1/4 + 1/2 x 3/6
= 1/4 + 1/2 x 1/2
= 1/4 + 1/4
= 2/4
= 1/2
= 0,5
3/8 + 7/24 - 1/6
= 9/24 + 7/24 - 1/6
= 16/24 - 1/6
= 8/6 - 1/6
= 7/6
~ 1,1666…
9/8 x 4/3
= 4/8 x 9/3
= 1/2 x 3
= 3/2
= 1,5
2 - 5/7 + 3/14
= 28/14 - 10/14 + 3/14
= 21/14
= (3 x 7)/(2 x 7)
= 3/2
= 1,5
3/12 + (5/2 - 3/4)
= 1/4 + 10/4 - 3/4
= 8/4
= 2
