Exercice 1:
a=5/6+2/7
a=5*7/6*7+2*6/7*6
a=35/42+12/42
a=47/42
b=9/5-1/3
b=9*3/5*3-1*5/3*5
b=27/15-5/15
b=22/15
c=-8/9-3/4
c=-8*4/9*4-3*9/4*9
c=-32/36-27/36
c=-59/36
d=1/2-3/10
d=1*5/2*5-3/10
d=5/10-3/10
d=2/10
d=1/5
e=1-13/18
e=1*18/1*18-13/18
e=18/18-13/18
e=5/18
f=7/11-2
f=7/11-2*11/1*11
f=7/11-22/11
f=-15/11
Exercice 2:
a=2+(2+2/3)-(2+2/3-3/4)
a=2+(6/3+2/3)-(24/12+8/12-9/12)
a=2+8/3-23/12
a=24/12+32/12-23/12
a=33/12
a=11/4
b=3/4+5/6-7/4+13/6-4
b=-4/4+18/6-4
b=-1+3-4
b=-2
c=5/3-(1/5-7/15)
c=5/3-(3/15-7/15)
c=5/3-(-4/15)
c=5/3+4/15
c=25/15+4/15
c=29/15
d=3+3/4-(4/5-1/4)+(8/5+1)
d=3+3/4-(16/20-5/20)+(8/5+5/5)
d=3+3/4-11/20+13/5
d=60/20+15/20-11/20+52/20
d=116/20
d=29/5
e=9+(9/8-1/4+2)+(-1/8+6)
e=9+(9/8-2/8+16/8)+(-1/8+48/8)
e=9+23/8+47/8
e=72/8+23/8+47/8
e=142/8
e=71/4
Exercice 3:
1)A=1/2-(-5/6)+(-1/3)
A=1/2+5/6-1/3
A=3/6+5/6-2/6
A=6/6
A=1
2)B=-5/4-(-2+1/8)
B=-5/4-(-16/8+1/8)
B=-5/4-(-15/8)
B=-5/4+15/8
B=-10/8+15/8
B=5/8
J'espère avoir pu vous aider.
