Exercice 4 - Effectue les calculs puis simplifie lorsque cela est possible : A=5/4-3/16 B=3+-7/5-17/20 C=7/8- -5/3 D=-4+16/3--11/12 E=1+-15/7 + -3/-5 F=-3/10 +

Réponse :

Bonjour,

A = 5/4 - 3/16

= 20 - 3/16

= 17/16

B = 3 + -7/5 - 17/20

= 3 + 119/100

= 419/100

C = 7/8 - -5/3

= 7/8 + 5/3

= 21 + 40/24

= 61/24

D = -4 + 16/3 - -11/12

= -48 + 64 + 11/12

= 27/12

= 9/4

E = 1 + -15/7 + -3/-5

= 1 + -15/7 + 3/5

= 35 - 75 + 21/35

= -19/35

F = -3/10 + -9/8 + 3/2

= -12 - 45 + 60/40

= 3/40

:))

Réponse :

A=5/4 - 3/16= 5*12/4*12 -3*3/16*3 = 60/48 -9/48= 60/48 - 9/48= 51/48= 17/16

A= 17/16

B=3+(-7/5) -17/20=3/1+(-7/5) -17/20= 3*10/30+(-17*6/5*6) -17*1,5/20*1,5= 30/30+(-102/30) -25,5/30= 1 -4,25 = -3,25

B= -3,25

C= 7/8 - (-5/3) =7*3/8*3 - (-5*8/3*8) = 21/24- (-40/24) =21/24+ 40/24 =61/24

C=61/24

D= -4+16/3 - (-11/12)= -4/1+16/3+11/12= -4*12/1*12+16*4/3*4+11/12 = -48/12 +64/12 +11/12=9/4

D=9/4

E= 1+ (-15/7)+ (-3/-5) =1/1 -15/7 -3/-5 = 1*(-35)/1*(-35) -15*(-5)/7*(-5) -3*7/-5*7 = -35/-35 -75/-35 -21/-35= 1 -96/35= -61/35

E= -61/35

F= -3/10 -9/8 +7/5 +3/2= -3*4/10*4 -9*5/8*5 +7*8/5*8 +3*20/2*20= -12/40 -45/40 +56/40 +60/40 = 59/40

F= 59/40

Explications étape par étape :