Question

Daca $\frac{2a+3b}{4b+15a}=0,(3), afla [tex] \frac{a}{b}$

Answer 1

(2a+3b)/(4b+15a)=0,(3)
0,(3)=3/9=1/3
(2a+3b)/(4b+15a)=1/3
6a+9b=4b+15a
9a=5b
a/b=5/9

Answer 2

2a+3b/4b+15a=3/9
⇒3[4b+15a]=9[2a+3b]
⇒4b+15a=3[2a+3b]
⇒4b+15a=6a+9b⇒15a-6a=9b-4b⇒9a=5b⇒b=9a/5;
⇒a/b=a/9a/5⇒a·5/9a⇒se reduce a cu a ;
⇒5/9⇒fractie ireductibila;