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\(1,\\ e)2\dfrac{1}{5}:\left(\dfrac{2}{5}+\dfrac{-3}{10}\right)-\dfrac{2}{5}\\ =\dfrac{11}{5}:\dfrac{2}{10}-\dfrac{2}{5}\\ =11-\dfrac{2}{5}\\ =\dfrac{53}{5}\\ 2,\\ a)4\dfrac{5}{6}+x=\dfrac{7}{5}\\ x=\dfrac{7}{5}-4\dfrac{5}{6}\\ x=-\dfrac{103}{30}\)
\(b)x-\dfrac{-3}{2}=3\dfrac{4}{5}\\ x+\dfrac{3}{2}=\dfrac{19}{5}\\ x=\dfrac{19}{5}-\dfrac{3}{2}\\ x=\dfrac{23}{10}\\ e)x:\dfrac{3}{5}=3\dfrac{1}{2}\\ x=3\dfrac{1}{2}\cdot\dfrac{3}{5}\\ x=\dfrac{21}{10}\\ d)2\dfrac{1}{6}:x=-\dfrac{2}{5}\\ x=2\dfrac{1}{6}:\left(-\dfrac{2}{5}\right)\\ x=-\dfrac{65}{12}\)
`1.`
`e) 2 1/5 :(2/5+ -3/10)-2/5`
`=11/5:(4/10+ -3/10)-2/5`
`=11/5:1/10-2/5`
`=11/5xx10-2/5`
`=22-2/5`
`=108/5`
`-------`
`2.`
`a) 4 5/6 +x=7/5`
`29/6+x=7/5`
`x=7/5-29/6`
`x=-103/30`
`b) x- (-3)/2=3 4/5`
`x+3/2=19/5`
`x=19/5-3/2`
`x=23/10`
`e) x:3/5=3 1/2`
`x:3/5=7/2`
`x=7/2xx3/5`
`x=21/10`
`d) 2 1/6:x=-2/5`
`13/6:x=-2/5`
`x=13/6:(-2/5)`
`x=13/6xx(-5/2)`
`x=-65/12`
1
e/ 11/5 : (4/10-3/10)-2/5=11/5 : 1/10 - 2/5=11/5 x 10 -2/5 = 22-11/5=110/5-2/5=108/5
2
a/\(\dfrac{29}{6}+x=\dfrac{7}{5}\)
\(x=\dfrac{7}{5}-\dfrac{29}{6}\)
\(x=\dfrac{35}{30}-\dfrac{145}{30}\)
\(x=-\dfrac{110}{30}=-\dfrac{11}{3}\)
b/ →\(x+\dfrac{3}{2}=\dfrac{19}{5}\)
\(x=\dfrac{19}{5}-\dfrac{3}{2}\)
\(x=\dfrac{38}{10}-\dfrac{15}{10}=\dfrac{13}{10}\)
c/\(x:\dfrac{3}{5}=\dfrac{7}{2}\)
\(x=\dfrac{7}{2}x\dfrac{3}{5}\)
\(x=\dfrac{21}{10}\)
d/\(\dfrac{13}{6}:x=-\dfrac{2}{5}\)
\(x=\dfrac{13}{6}:-\dfrac{2}{5}\)
\(x=\dfrac{13}{6}x\dfrac{-5}{2}\)
\(x=-\dfrac{65}{12}\)
