Exercice 1 Calculer
A =
7
2 7
3
, B =7 2 7 3
C =
7
2 7
3
D =7 2 7 3
Réponse
A =
7
2 7
3
=7 5
B =
7
2 7
3
=7 1
C =
7
2 7 3
=49 6
D =
2
3 14 21 2 7 7 3 7 2 7 3
Exercice 2 Calculer
A =
10
1 10
7
, B =10 1 10
7
C =
10
1 10
7
, D =10 1 10
7
Réponse
A =
10
8 10
1 10
7
B =
10
6 10
1 10
7
C =
100
7 10
1 10
7
D =
7
1 7 10 70 1 10 10
7 10
1 10
7
Exercice 3 Calculer
A =
10
1 5
1
, B =10 1 5 1
C =
10
1 5
1
, D =10
1 5 1
Réponse
A =
10
3 10
1 10
2 10
1 5 1
B =
10
1 10
1 10
2 10
1 5
1
C =
50
1 10
1 5
1
D =
2
5 10 1 10 5 1 10
1 5 1
Exercice 4 Calculer
A =
8
3 2
1
, B =8 3 2 1
C =
8
3 2
1
, D =8 3 2 1
Réponse
A =
8
7 8 3 8 4 8 3 2 1
B =
8 1 8 3 8 4 8 3 2
1
C =
16
3 8 3 2
1
A =
2 1 5
3
, B =2 1 5 3
C =
2
1 5
3
, D =2 1 5 3
10 10 10 2 5
B =
10
1 10
5 10
6 2 1 5
3
C =
10
3 2 1 5
3
D =
5
6 1 2 5 3 2 1 5 3
Exercice 6 Calculer
A =
3
1 2
1
, B =3 1 2 1
C =
3
1 2
1
, D =3 1 2 1
Réponse
A =
6
5 6 2 6 3 3 1 2
1
B =
6
1 6 2 6 3 3 1 2
1
C =
6
1 3 1 2
1
D =
2
3 1 3 2 1 3 1 2 1
Exercice 7 Calculer
A =
15
4 10
7
, B =15 4 10
7
C =
15
4 10
7
, D =15 4 10
7
Réponse
A =
15
4 10
7
,B =
15
4 10
7
C =
15
4 10
7
D =
15
4 10
7
Exercice 8 Calculer
A =
6
1 9
5
, B =6 1 9 5
C =
6
1 9
5
, D =6 1 9 5
Réponse
A =
18
13 18
3 18 10 6 1 9 5
B =
18
7 18
3 18 10 6 1 9
5
C =
54
5 6 1 9
5
D =
9
30
1
6
9
5
6
1
9
5
Exercice 9 Calculer
A =
5
2 3
, B =5 2 3
C =
5
2 3
, D =5 2 3
Réponse
A =
5
13 5 3 5 10 5 2 3
B =
5
7 5 3 5 10 5
2 3
C =
5
6 5 3 1 2 5
2 3
D =
3
10 3 5 1 2 5 2 3
Exercice 10 Calculer
A =
4
3 1
, B =4 3 1
C =
4
3 1
, D =4 3 1
Réponse
A =
4
13 4 1 4 12 4 3 1
B =
4
11 4 1 4 12 4
3 1
C =
4
3 4 1 1 3 4
3 1
D =
12
1 12 1 4 1 3 4 3 1
Exercice 11 Calculer
A =
10
1 3
, B =10 1 3
C =
10
1 3
, D =10 1 3
Réponse
A =
10
11 10
1 10 10 10 1 1
B =
10
9 10
1 10 10 10
1 1
C =
10
3 10 1 3
D =
3
10 3 10 1 1 10 1 3
Exercice 12 Calculer
A =
5
3
2
, B =5
3 2
C =
5
3
2
, D =5
3 2
Réponse
A =
3
17 3 15 3 5 2 3
2
B =
3
13 3
15 3 5 2 3
2
C =
3
10 1 5 3 5 2 3
2
2
1
2
5
2
2
A =
2 7
5
, B =2
7 5
C =
2
7
5
, D =2
7 5
A =
7
19 7 14 7 2 5 7 5
B =
7
9 7 14 7 2 5 7
5
C =
7
10 1 2 7 2 5 7
5
D =
14
5 2 1 7 5 1 2 7 2 5 7 5
Exercice 14 Calculer
A =
7 3 5 4
B =
7 4 3
C =
7 2 5
Réponse
A =
15
28 3 7 5 4 7 3 5 4 7 3 5 4
B =
28
3 7 1 4 3 1 7 4 7 3 4 3 7 4 3
C =
2
35 2 7 1 5 7 2 1 5 7 5 2
7 2
5
Exercice 15 Calculer
A =
7 1 5 1
B =
7 4 1
C =
7 1 1
Réponse
A =
5
7 1 7 5 1 7 1 5 1 7 1 5 1
B =
28
1 7 1 4 1 1 7 4 7 1 4 1 7 4 1
C =
7
1 1 7 7 1 1
7 1
1
Exercice 16
Que peut-on dire des fractions
7
2
7 2
et7 2
?Que peut-on dire des fractions
7 2
et7 2
?Réponse
7
2
=7 2
=7 2
7 2
=7 2
Exercice 17 Calculer
A=
7
1 7
2
, B =7 1 7
2
C =
7
1 7
2
, D =7 1 7
2
Réponse
A=
7
3 7
1 7
2
B =
7
1 7 1 7
2 7
1 7
2
C =
7
2 7
1 7
2
D =
2
1 2 1 7 7 2 7 1 7 2 7
1 7
2
Exercice 18 Calculer
A=
5
3 2
1
, B =5 3 2
1
C =
5
3 2
1
, D =5 3 2
1
Réponse
A=
6
11 10
6 10
5 5
3 2
1
B =
10
1 10
6 10
5 5 3 2
1 5
3 2
1
C =
10
3 5
3 2
1
D =
6
5 3 5 2 1 5 3 2 1 5
3 2
1
Exercice 19 Calculer
A =
6
1 2
1
, B =6 1 2 1
C =
6
1 2
1
, D =6 1 2 1
Réponse
A=
6
2 6 1 6
3 6 1 2
1
B =
6
4 6 1 6
3 6 1 2
1
C =
12
1 6 1 2
1
D =
3
2
6
1
6
2
1
6
1
2
1
On donne a =
3 2
Calculer : A = 2a, B = 2 + a et C = a²
a =
3 2
A = 2a =
3 4 3 2 2
B = 2+a =
3 8 3 2 3 6 3 2 2
C = a² =
9 4 3 2 3 )² 2 3 ( 2
Exercice 21 On donne a =
5 4
Calculer : A= 3a , B= 1- a et C = a²
Réponse a =
5
4
A = 3a =
5 12 5 3 4
B = 1-a =
5 1 5 4 5 5 5 1 4
C = a² =
25 16 5 4 5 )² 4 5 ( 4
Exercice 22 Calculer On donne a =
2 1
Calculer : A= 5a , B = 1-a et C = a²
Réponse a =
2
1
A = 5a =
2 5 2
5 1
B = 1-a =
2 3 2 1 2 2 2 1 1
C = a² =
4 1 2
1 2 )² 1 2 ( 1
Exercice 23 On donne a =
4
3
et b =2 1
Calculer A= a + b, B = ab, C =
b
a
et D =a b
.Réponse a =
4
3
et b =2 1
A = a+b =
4 5 4 2 4 3 2 1 4
3
B = ab =
8 3 2 1 4 3
C =
b a
=4 6 1 2 4 3 2 1 4 3
D =
b
=
