5/9 x a/b -11/21 = 4/21
\(\dfrac{5}{9}\times\dfrac{a}{b}=\dfrac{4}{21}+\dfrac{11}{21}\)
\(\dfrac{5}{9}\times\dfrac{a}{b}=\dfrac{15}{21}=\dfrac{5}{7}\)
\(\dfrac{a}{b}=\dfrac{5}{7}:\dfrac{5}{9}\)
\(\dfrac{a}{b}=\dfrac{5}{7}\times\dfrac{9}{5}\)
\(\dfrac{a}{b}=\dfrac{9}{7}\)
5/9.a/b=4/21+11/21
5/9.a/b=15/21
a/b=15/21:5/9
a/b=15/21.9/5
a/b=9/7
=> a=9 ; b=7