\(\dfrac{15}{12}\times\left(\dfrac{3}{24}-\dfrac{1}{12}\right)+\dfrac{15}{12}\times\left(\dfrac{11}{6}-\dfrac{7}{8}\right)\\ =\dfrac{15}{12}\times\left(\dfrac{1}{8}-\dfrac{1}{12}\right)+\dfrac{15}{12}\times\left(\dfrac{11}{6}-\dfrac{7}{8}\right)\\ =\dfrac{5}{4}\times\left(\dfrac{1}{8}-\dfrac{1}{12}\right)+\dfrac{5}{4}\times\left(\dfrac{22}{12}-\dfrac{7}{8}\right)\\ =\dfrac{5}{4}\times\left(\dfrac{1}{8}-\dfrac{1}{12}+\dfrac{22}{12}-\dfrac{7}{8}\right)\\ =\dfrac{5}{4}\times\left(\dfrac{21}{12}-\dfrac{6}{8}\right)\\ =\dfrac{5}{4}\times\left(\dfrac{7}{4}-\dfrac{3}{4}\right)\\ =\dfrac{5}{4}\times1\\ =\dfrac{5}{4}\)
`15/12 . (3/24 - 1/12 + 11/6 - 7/8)`
`= 15/12 . (3/24 - 2/24 + 44/24 - 21/24)`
`= 15/12 . 24/24`
`= 15/12 . 1`
`= 15/12`