Question

dacă $\frac{a}{b}$ = $\frac{2}{3} }$ , calculați $\frac{4a-b}{3a+b} } }$

Answer 1

a:b=2:3
a=2 b=3
(4x2-3):(3x2+3)=(8-3):(6+3)=5:9

Answer 2

a/b=2/3
a=2b/3
(4x2b/3-b)/(3x2b/3+b)=
=(8b/3-b)/(6b/3+b)=
=(8/3-1)/(2+1)=
=[(8-3)/3]/3=
=5/9