\(\dfrac{7}{8}:\left(\dfrac{2}{9}-\dfrac{1}{18}\right)+\dfrac{7}{8}:\left(\dfrac{1}{36}-\dfrac{5}{12}\right)\\ =\dfrac{7}{8}:\left(\dfrac{2\times2}{9\times2}-\dfrac{1}{18}\right)+\dfrac{7}{8}:\left(\dfrac{1}{36}-\dfrac{5\times3}{12\times3}\right)\\ =\dfrac{7}{8}:\left(\dfrac{4}{18}-\dfrac{1}{18}\right)+\dfrac{7}{8}:\left(\dfrac{1}{36}-\dfrac{15}{36}\right)\\ =\dfrac{7}{8}:\left(\dfrac{4-1}{18}\right)+\dfrac{7}{8}:\left(\dfrac{1-15}{36}\right)\\ =\dfrac{7}{8}:\dfrac{3}{18}+\dfrac{7}{8}:\left(-\dfrac{14}{36}\right)\\ =\dfrac{7}{8}:\dfrac{1}{6}+\dfrac{7}{8}:\left(-\dfrac{7}{18}\right)\\ =\dfrac{7}{8}:\left[\dfrac{1}{6}+\left(-\dfrac{7}{18}\right)\right]\\ =\dfrac{7}{8}:\left[\dfrac{1\times3}{6\times3}+\left(-\dfrac{7}{18}\right)\right]\\ =\dfrac{7}{8}:\left[\dfrac{3}{18}+\left(-\dfrac{7}{18}\right)\right]\)
\(=\dfrac{7}{8}:\left[\dfrac{3+\left(-7\right)}{18}\right]\\ =\dfrac{7}{8}:\left(-\dfrac{4}{18}\right)\\ =\dfrac{7}{8}:\left(-\dfrac{2}{9}\right)\\ =\dfrac{7}{8}\times\left(-\dfrac{9}{2}\right)\\ =\dfrac{7\times\left(-9\right)}{8\times\left(2\right)}\\ =-\dfrac{63}{16}.\)
`7/8 : ( 2/9 - 1/18) + 7/8 : ( 1/36 - 5/12)`
` = 7/8 : ( (2xx2)/(9xx2) - 1/18) + 7/8 : ( 1/36 - (5xx3)/(12xx3) )`
`= 7/8 : ( 4/18 -1/18) + 7/8 : ( 1/36 - 15/36)`
`= 7/8 : ( (4-1)/18) + 7/8 : ( (1-15)/36)`
` = 7/8 : 3/18 + 7/8 : (-14)/36`
`= 7/8 : 1/6 + 7/8 : (-7)/18`
`= 7/8 xx 6 + 7/8 xx (-18)/7`
` = 7/8 xx ( 6 + (-18)/7)`
`= 7/8 xx 24/7`
`= (7xx24)/(8xx7)`
`= 168/56`
`=3`
78:(29−118)+78:(136−512)78:(29-118)+78:(136-512)
=78:(2×29×2−118)+78:(136−5×312×3)=78:(2×29×2-118)+78:(136-5×312×3)
= 78:(418−118)+78:(136−1536)= 78:(418-118)+78:(136-1536)
=78:(4−118)+78:(1−1536)=78:(4-118)+78:(1-1536)
=78:318+78:−1436=78:318+78:-1436
=78:16+78:−718=78:16+78:-718
=78×6+78×−187=78×6+78×-187
=78×(6+−187)=78×(6+-187)
=78×247=78×247
=7×248×7=7×248×7
=16856=16856
=3
=78:[3+(−7)18]=78:(−418)=78:(−29)=78×(−92)=7×(−9)8×(2)=−6316
