\(\left(\dfrac{5}{2}+\dfrac{1}{3}\right):\left(1-\dfrac{2}{3}\right)=\left(\dfrac{15}{6}+\dfrac{2}{6}\right):\dfrac{1}{3}=\dfrac{17}{6}.3=\dfrac{17}{2}\)
\(\left(\dfrac{5}{2}-\dfrac{1}{3}\right)\times\dfrac{9}{2}-\dfrac{6}{7}=\left(\dfrac{15}{6}-\dfrac{2}{6}\right)\times\dfrac{9}{2}-\dfrac{6}{7}=\dfrac{13}{6}\times\dfrac{9}{2}-\dfrac{6}{7}=\dfrac{39}{4}-\dfrac{6}{7}=\dfrac{249}{28}\)\(\dfrac{6}{7}:\left(\dfrac{1}{2}\times\dfrac{3}{4}\right)-\dfrac{5}{8}=\dfrac{6}{7}:\dfrac{3}{8}-\dfrac{5}{8}=\dfrac{16}{7}-\dfrac{5}{8}=\dfrac{93}{56}\)
`( 5/2 + 1/3 ) : (1- 2/3 )`
` =(15/6 + 2/6):(3/3 - 2/3)`
`=17/6 : 1/3`
`=17/6 xx3`
`=17/2`
`( 5/2 - 1/3 ) xx 9/2 - 6/7 `
`=(15/6 - 2/6)xx 9/2 - 6/7`
`=17/6 xx 9/2 -6/7`
`=51/4 - 6/7`
`=333/28`
`6/7 : ( 1/2 xx 3/4 ) - 5/8 `
`=6/7 : 3/8 - 5/8`
`=6/7 xx 8/3 - 5/8`
`=16/7 - 5/8`
`=93/56`
`[ 5/2 + 1/3 ] : [ 1- 2/3 ] =17/6 : 1/3= 17/6 xx 3/1= 17/2`
`[ 5/2 - 1/3 ] xx 9/2 - 6/7 =13/6 xx 9/2 - 6/7= 39/4 - 6/7=249/28`
`6/7 : [ 1/2 xx 3/4 ] - 5/8 =6/7 : 3/8 - 5/8=6/7 xx 8/3 - 5/8=16/7 - 5/8=93/56`
`=17/6 :1/3=17/2`
`=13/6 xx9/2 -6/7=39/4 -6/7=249/28`
`=6/7 :3/8 -5/8=16/7 -5/8=93/56`