`5`
`a)-1/(24)-[1/4-(1/2-7/8)]`
`=-1/(24)-[1/4-(4/8-7/8)]`
`=-1/(24)-[1/4-(-3/8)]`
`=-1/(24)-(1/4+3/8)`
`=-1/(24)-(2/8+3/8)`
`=-1/(24)-5/8`
`=-1/(24)-15/24`
`=-16/24`
`=-2/3`
`b)(5/7-7/5)-[1/2-(-2/7-1/(10))]`
`=5/7-7/5-1/2-2/7-1/(10)`
`=(5/7-2/7)+(-7/5-1/2-1/(10))`
`=3/7+(-14/10-5/(10)-1/(10))`
`=3/7+(-20/10)`
`=3/7+(-2)`
`=(-11)/7`
`c)(-1/2)-(-3/5)+(-1/9)+1/(71)-(-2/7)+4/(35)-7/(18)`
`=(-1/2)+3/5-1/9+1/(71)+2/7+4/(35)-7/(18)`
`=[(-1/2)-1/9-7/(18)]+(3/5+2/7+4/(35))+1/(71)`
`=[(-9/18)-2/(18)-7/(18)]+(21/35+10/35+4/(35))+1/(71)`
`=(-18/18)+35/35+1/(71)`
`=(-1)+1+1/(71)`
`=0+1/(71)`
`=1/(71)`
`d)(3-1/4+2/3)-(5-1/3-6/5)-(6-7/4+3/2)`
`=3-1/4+2/3-5+1/3+6/5-6+7/4-3/2`
`=(3-5-6)+[(-1/4)+7/4]+(2/3+1/3)+(6/5-3/2)`
`=(-8)+3/2+3/3+(12/10-15/10)`
`=(-8)+3/2+1-3/10`
`=(-7)+3/2-3/10`
`=(-70)/10+15/10-3/10`
`=-58/10`
`=(-29)/5`
`e)(1/2-13/14) : 5/7-(-2/(21)+1/7) : 5/7`
`=(1/2-13/14) . 7/5-(-2/(21)+1/7 . 7/5`
`=7/5.(1/2-13/14+2/(21)-1/7)`
`=7/5.(21/42-39/42+4/(42)-6/(42))`
`=7/5.(-20/42)`
`=7/5.(-10/21)`
`=-2/3`
`g)4/9:(-1/7)+6 5/9 : (-1/7)`
`=4/9 . (-7)+(59)/9 . (-7)`
`=(-7) . (4/9+(59)/9)`
`=(-7). 63/9`
`=(-7).7`
`=-49`
`6`.
`a)2/3-4.(1/2+3/4)`
`=2/3-4.(2/4+3/4)`
`=2/3-4. 5/4`
`=2/3-5`
`=(-13)/3`
`b)(-1/3+5/6).11-7`
`=(-2/6+5/6).11-7`
`=3/6 .11-7`
`=1/2 . 11-7`
`=(11)/2 -7`
`=-3/2`
`c)(-5/9) . 3/(11)+(-13/18) . 3/(11)`
`=3/(11).[(-5/9)+(-13/18)]`
`=3/(11).[(-10/18)+(-13/18)]`
`=3/(11). (-23)/18`
`=-23/66`
`d)(-2/3) . 3/(11)+(-16/9) . 3/(11)`
`=3/(11).[(-2/3)+(-16/9)]`
`=3/(11).[(-6/9)+(-16/9)]`
`=3/(11). (-22/9)`
`=-2/3`
