`(3/4+1/6)*(5/9-1/6)`
`=(9/12+2/12)*(10/18-3/18)`
`=11/12*7/18`
`=77/216`
\(=\left(\dfrac{3}{4}+\dfrac{1}{6}\right).\left(\dfrac{5}{9}-\dfrac{1}{6}\right)\\ =\left(\dfrac{3.6+1.4}{24}\right).\left(\dfrac{5.6-1.9}{54}\right)\\=\dfrac{18+4}{24}.\dfrac{30-9}{54}\\ =\dfrac{22}{24}.\dfrac{21}{54}\\ =\dfrac{77}{216}\)
\(\left(\dfrac{3}{4}+\dfrac{1}{6}\right)\times\left(\dfrac{5}{9}-\dfrac{1}{6}\right)\\ =\left(\dfrac{9}{12}+\dfrac{2}{12}\right)\times\left(\dfrac{10}{18}-\dfrac{3}{18}\right)\\ =\dfrac{11}{12}\times\dfrac{7}{18}\\ =\dfrac{77}{216}\)