\(\dfrac{17}{12}-\dfrac{1}{6}=\dfrac{17}{12}-\dfrac{2}{12}=\dfrac{15}{12}=\dfrac{5}{4}\)
\(\left(\dfrac{3}{8}-\dfrac{3}{4}+\dfrac{7}{12}\right):\dfrac{5}{6}+\dfrac{1}{2}=\left(\dfrac{9}{24}-\dfrac{18}{24}+\dfrac{14}{24}\right):\dfrac{5}{6}+\dfrac{1}{2}=\dfrac{5}{24}:\dfrac{5}{6}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{3}{4}\)
17/12 + -1/6 = 5/4
(3/8 + -3/4 + 7/12) :5/6 +1/2
= 5/24 : 5/6 + 1/2
= 1/4 + 1/2
= 3/4
\(\dfrac{17}{12}+\dfrac{-1}{6}.\\ =\dfrac{17}{12}-\dfrac{1}{6}.\\ =\dfrac{5}{4}.\\ \left(\dfrac{3}{8}+\dfrac{-3}{4}+\dfrac{7}{12}\right):\dfrac{5}{6}+\dfrac{1}{2}.\\ =\left(\dfrac{3}{8}-\dfrac{3}{4}+\dfrac{7}{12}\right):\dfrac{5}{6}+\dfrac{1}{2}.\\ =\dfrac{5}{24}:\dfrac{5}{6}+\dfrac{1}{2}.\\ =\dfrac{1}{4}+\dfrac{1}{2}.\\ =\dfrac{3}{4}.\)
`17/12 + (-1)/6 = 17/12 - 1/6 = 17/12 - 2/12 = (17-2)/12 = 15/12 = 5/4`
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`(3/8 + (-3)/4 + 7/12) : 5/6 + 1/2`
`=(3/8 - 3/4 + 7/12) : 5/6 + 1/2`
`=( 9/24 - 18/24 + 14/24) : 5/6 + 1/2`
`=((9-18+14)/24) : 5/6 + 1/2`
`=5/24 : 5/6 + 1/2`
`= 5/24 xx 6/5 + 1/2`
`=1/4 + 1/2`
`=1/4 + 2/4`
`=(1+2)/4`
`=3/4`
