Bài 1:
`a)11(3)/4-(6(5)/6-4(1)/2)+1(2)/3`
`=47/4-(41/6-9/2)+5/3`
`=47/4-(41/6-27/6)+5/3`
`=47/4-14/6+5/3`
`=141/12-28/12+20/12`
`=133/12`
`b)2(17)/20-1(11)/15+6(9)/20:3`
`=57/20-26/15+129/20:3`
`=57/20-26/15+129/20 . 1/3`
`=57/20-26/15+43/20`
`=(57/20+43/20)-26/15`
`=100/20-26/15`
`=5-26/15`
`=75/15-26/15`
`=49/15`
`c)4(3)/7:(7/5 . 4(3)/7)`
`=31/7:(7/5 . 31/7)`
`=31/7:31/5`
`=31/7 . 5/31`
`=5/7`
`d)(3(2)/9 . 15/23 . 1(7)/29):5/23`
`=(29/9 . 15/23 . 36/29). 23/5`
`=60/23 . 23/5`
`=12`
Bài 2:
`a)11(3)/4-(6(5)/6-4(1)/2+1(2)/3)`
`=47/4-(41/6-9/2+5/3)`
`=47/4-(41/6-27/6+10/6)`
`=47/4-24/6`
`=47/4-4`
`=47/4-16/4`
`=31/4`
`b)(5(7)/8-2(1)/4-0,5):2(23)/26`
`=(47/8-9/4-1/2):75/26`
`=(47/8-18/8-4/8). 26/75`
`=25/8 . 26/75`
`=13/12`
`c)(17(13)/15-3(3)/7)-(2(12)/15-4)`
`=(268/15-24/7)-(42/15-4)`
`=268/15-24/7-42/15+4`
`=(268/15-42/15)-24/7+4`
`=226/15-24/7+4`
`=6328/420-1440/420+1680/420`
`=1642/105`
`d)2(2)/3 . (-4)/5 .0,375.(-10). (-15)/24`
`=8/3 .(-4)/5 . 3/8 .(-10) .(-5)/8`
`=(8/3 . 3/8).((-4)/5.(-5)/8).(-10)`
`=1. 1/2 .(-10)`
`=1/2 .(-10)`
`=-5`
Bài 3:
`a)5:3/4-4(4)/5:3/4`
`=5. 4/3-24/5 . 4/3`
`=4/3 .(5-24/5)`
`=4/3 .(25/5-24/5)`
`=4/3 . 1/5`
`=4/15`
`b)(-3)/5 . 2/7+(-3)/7 . 3/5+(-3)/7`
`=(-3)/7 .(2/5+3/5+1)`
`=(-3)/7 .(2/5+3/5+5/5)`
`=(-3)/7 .2`
`=(-6)/7`
`c)(-4(2)/7 . 7/11+7/11 . 5(1)/3).5-5(2)/3`
`=((-30)/7 . 7/11+7/11 . 16/3).5-17/3`
`=[7/11 .((-30)/7+16/3)].5-17/3`
`=[7/11 .((-90)/21+112/21)].5-17/3`
`=(7/11 . 22/21).5-17/3`
`=2/3 .5-17/3`
`=10/3-17/3`
`=(-7)/3`
`d)5/39 .(7(4)/5 . 1(2)/3+8(1)/3 . 7(4)/5)`
`=5/39 .(39/5 . 5/3+25/3 . 39/5)`
`=5/39 .[39/5 .(5/3+25/3)]`
`=5/39 .(39/5 .10)`
`=5/39 .78`
`=10`