Ta có: \(\frac{a+5}{a-5}=\frac{b+6}{b-6}\)
\(\Rightarrow\left(a+5\right).\left(b-6\right)=\left(a-5\right).\left(b+6\right)\)
\(ab-6a+5b-30=ab+6a-5b-30\)
\(\Rightarrow5b-6a=6a-5b\)
\(5b+5b=6a+6a\)
\(10b=12a\)
\(\Rightarrow\frac{a}{b}=\frac{10}{12}=\frac{5}{6}\)
Vậy \(\frac{a}{b}=\frac{5}{6}\)
Tham khảo nhé~