e: \(=\dfrac{1}{6}:\left(\dfrac{3}{2}-\dfrac{3}{4}\right)+\dfrac{1}{4}\)
\(=\dfrac{1}{6}:\dfrac{3}{4}+\dfrac{1}{4}\)
\(=\dfrac{4}{18}+\dfrac{1}{4}=\dfrac{17}{36}\)
h: \(=\left(5+\dfrac{2}{7}\right)\cdot\left(\dfrac{8}{11}+\dfrac{5}{11}-\dfrac{2}{11}\right)=\dfrac{37}{7}\)
\(e,\dfrac{1}{6}:\left(1\dfrac{1}{2}-\dfrac{3}{4}\right)+\dfrac{1}{4}=\dfrac{1}{6}:\left(\dfrac{3}{2}-\dfrac{3}{4}\right)+\dfrac{1}{4}=\dfrac{1}{6}:\left(\dfrac{6}{4}-\dfrac{3}{4}\right)+\dfrac{1}{4}=\dfrac{1}{6}:\dfrac{3}{4}+\dfrac{1}{4}=\dfrac{1}{6}\times\dfrac{4}{3}+\dfrac{1}{4}=\dfrac{2}{9}+\dfrac{1}{4}=\dfrac{8}{36}+\dfrac{9}{36}=\dfrac{17}{36}\)
\(h,5\dfrac{2}{7}\times\dfrac{8}{11}+5\dfrac{2}{7}\times\dfrac{5}{11}-5\dfrac{2}{7}\times\dfrac{2}{11}=\dfrac{37}{7}\times\left(\dfrac{8}{11}+\dfrac{5}{11}-\dfrac{2}{11}\right)=\dfrac{37}{7}\times1=\dfrac{37}{7}\)
`1/6:(1 1/2 - 3/4)+1/4`
`=1/6:(3/2-3/4)+1/4`
`=1/6:(6/4-3/4)+1/4`
`=1/6:3/4+1/4`
`=1/6 xx 4/3+1/4`
`=2/9+1/4`
`1=7/36`
_________________
`5 2/7 xx 8/11 + 5 2/7 xx 5/11 - 5 2/7 xx 2/11`
`=5 2/7 xx(8/11+5/11-2/11)`
`=5 2/7 xx 11/11`
`=5 2/7 xx 1`
`=5 2/7`
`=37/7`