Ta có : \(\frac{a}{b}=\frac{3}{4}\)(1)
\(\frac{a+15}{b}=\frac{7}{6}\)
\(\Rightarrow\frac{a}{b}+\frac{15}{b}=\frac{7}{6}\)(2)
Thay (1) vào (2) ta có :
\(\frac{3}{4}+\frac{15}{b}=\frac{7}{6}\)
\(\Rightarrow\frac{15}{b}=\frac{7}{6}-\frac{3}{4}\)
\(\Rightarrow\frac{15}{b}=\frac{5}{12}\)
\(\Rightarrow5b=12.15\)
\(\Rightarrow b=12.15:5\)
\(\Rightarrow b=36\)
Thay b\(\Rightarrow a=27\) vào (1) ta có :
\(\frac{a}{b}=\frac{a}{36}=\frac{3}{4}\)
\(\Rightarrow4a=36.3\)
\(\Rightarrow a=36.3:4\)
\(\Rightarrow a=27\)
\(\Rightarrow\frac{a}{b}=\frac{27}{36}\)