Question

Rezolva in Q+ ecuatia urmatoare: (1 intreg si 1/2 + 2 intregi si 2/3 + 3 intregi si 3/4 ) : 4 intregi si 4/5 = (2 intregi si 1/2 + 3 intregi si 2/3 + 1 intreg si 3/4 ) : x
ofer 50p si coronita, plssssss

Answer 1

1intreg 1/2 = ( 2x1+1)/2=3/2
2intreg 2/3 = (3x2+2)/3= 8/3
3intreg 3/4 = (4x3+3)/4 = 15/4
4intreg 4/5 = (5x4+4)/5= 24/5
2intreg 1/2 =(2x2+1)/2 =5/2
3intreg 2/3 =( 3x3+2)/3 =11/3
1intreg 3/4 = (4x1+3)/4 = 7/4
( 3/2 + 8/3 + 15/4 ) : 24/5 = ( 5/2 + 11/3 + 7/4 ) : x
aduc la acelasi numitor in paranteze , numitorul comun este 12
( 18/12 + 32/12 + 45/12) * 5/24 =( 30/12 + 44/12 + 21/12) *1/x
95/12 *5/24 = 95/12 *1/x 
impartim toata relatia cu 95/12
5/24 = 1/x
x= (24*1)/5
x=24/5