g: \(=\dfrac{1}{4}+\dfrac{3}{4}\cdot\dfrac{-3+4}{6}\)
\(=\dfrac{1}{4}+\dfrac{3}{4}\cdot\dfrac{1}{6}=\dfrac{1}{4}+\dfrac{1}{8}=\dfrac{3}{8}\)
h: \(=\dfrac{9-18+14}{24}\cdot\dfrac{6}{5}+\dfrac{1}{2}\)
\(=\dfrac{5}{24}\cdot\dfrac{6}{5}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{3}{4}\)
i: \(=\dfrac{3+2}{8}:\dfrac{8-1}{6}=\dfrac{5}{8}\cdot\dfrac{6}{7}=\dfrac{30}{56}=\dfrac{15}{28}\)
k: \(=\dfrac{-3}{4}\cdot\dfrac{4}{9}=\dfrac{-3}{9}=-\dfrac{1}{3}\)
`g)1/4+3/4.(-1/2+2/3)`
`=1/4+3/4.(-3/6+4/6)`
`=1/4+3/4 . 1/6`
`=1/4+3/24`
`=1/4+1/8`
`=2/8+1/8`
`=3/8`
__
`h)(3/8+(-3)/4+7/12):5/6+1/2`
`=(9/24+(-18)/24+14/24). 6/5+1/2`
`=(-9/24+14/24). 6/5+1/2`
`=5/24 . 6/5+1/2`
`=1/4+1/2`
`=1/4+2/4`
`=3/4`
__
`i)(3/8+1/4):(4/3-1/6)`
`=(3/8+2/8):(8/6-1/6)`
`=5/8:7/6`
`=5/8 . 6/7`
`=15/28`
__
`k)-3/4.(-44/9).(-1/11)`
`=11/3.(-1/11)`
`=-1/3`
