dacă a supra b = 2 supra 3 calculați 3a+2b supra 2a+3b​

a/b = 2/3

Scriem proportia derivata:

a/2 = b/3 = k, de unde:

a = 2k si b = 3k

Trebuie sa calculam (3a + 2b)/(2a + 3b). Inlocuim in aceasta relatie a si b scrise in functie de k:

(3a+2b)/(2a+3b) = (3*2k+2*3k)/(2*2k+3*3k) = (6k+6k)/(4k+9k) = 12k/13k = 12/13

R: 12/13

a/b = 2/3

a/2 = b/3 = k

a = 2k

b = 3k

(3a+2b)/(2a+3b) =

= (6k+6k)/(4k+9k)

= (12k)/(13k)

= 12/13