Bonjour ;
On a : 4 + 2/3 = 12/3 + 2/3 = (12 + 2)/3 = 14/3 ;
et : 7/5 + 3 = 7/5 + 15/5 = (7 + 15)/5 =22/5 ;
donc : (4 + 2/3)/(7/5 + 3) = (14/3)/(22/5)
= 14/3 x 5/22 = 14/22 x 5/3 = 7/11 x 5/3
= (7 x 5)/(11 x 3) = 35/33
Conclusion :
- 2/33 + (4 + 2/3)/(7/5 + 3)
= - 2/33 + 35/33
= (- 2 + 35)/33
= 33/33
= 1 .