\(\dfrac{5}{9}\)\(\times\)\(\dfrac{1}{4}\)+\(\dfrac{4}{9}\)\(\times\dfrac{3}{12}\)
=\(\dfrac{5}{9}\times\)\(\dfrac{1}{4}\)+\(\dfrac{4}{9}\)\(\times\dfrac{1}{4}\)
=\(\dfrac{1}{4}\times\)\(\left(\dfrac{5}{9}+\dfrac{4}{9}\right)\)
=\(\dfrac{1}{4}\)\(\times\)\(\dfrac{9}{9}\) = \(\dfrac{1}{4}\)\(\times\)1 = \(\dfrac{1}{4}\)
5/45 + 12/36 = 1/9 + 1/3 = 3/27 + 9/27 = 12/27 = 4/9