Theo bài ra ta có:
\(\frac{a+b}{b+b}=2.\frac{a}{b}\Rightarrow\frac{a+b}{2b}=\frac{2a}{b}\)
=>a/2b+b/2b=2a/b
=>a/2b+1/2=2a/b
=>2a/b-a/2b=1/2
=>4a/2b-a/2b=1/2
\(=>\frac{4a-a}{2b}=\frac{1}{2}\)
=>3a/2b=1/2
=>3/2.a/b=1/2
=>a/b=1/2:3/2=1/3
Vì a/b tối giản nên a/b=1/3