`5/6 + (5/9 - 1/4)`
` = 5/6 + ( 20/36 - 9/36)`
` = 5/6 + 11/36`
` = 30/36 + 11/36`
` = 41/36`
=5/6+(20/36-9/36)
=5/6+11/36
=30/36+11/36
=41/36
\(=\dfrac{5}{6}+\dfrac{11}{36}\)
\(=\dfrac{41}{36}\)
\(\dfrac{5}{6}+\left(\dfrac{5}{9}-\dfrac{1}{4}\right)=\dfrac{5}{6}+\left(\dfrac{20}{36}-6\dfrac{41}{3}\dfrac{9}{36}\right)=\dfrac{5}{6}+\dfrac{11}{36}=\dfrac{30}{36}+\dfrac{11}{36}\)
\(\dfrac{5}{6}+\left(\dfrac{5}{9}-\dfrac{1}{4}\right)=\dfrac{5}{6}+\left(\dfrac{5\times4}{9\times4}-\dfrac{1\times9}{4\times9}\right)=\dfrac{5}{6}+\left(\dfrac{20}{36}-\dfrac{9}{36}\right)=\dfrac{5}{6}+\left(\dfrac{20-9}{36}\right)=\dfrac{5}{6}+\dfrac{11}{36}=\dfrac{5\times6}{6\times6}+\dfrac{11}{36}=\dfrac{30}{36}+\dfrac{11}{36}=\dfrac{41}{36}.\)