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![](https://rs.olm.vn/images/avt/0.png?1311)
-3/11.(-22)/66.121/15
=(-3).(-22).121
11.66.15
=11
15
3/7.2/5.7/3.20.19/72
=3.2.7.20.19
7.5.3.72
=76
16
6/7.8/13+6/13.9/7-3/13.6/7
=6/7.8/13+6/7.9/13-3/13.6/7
=6/7.(8/13+9/13-3/13)
=6/7.14/13
=12/13
-1/4.152/11+68/4.(-1)/11
=152/4.(-1)/11+68/4.(-1)/11
=(-1)/11.(152/4+68/4)
=(-1)/11.220/4
=-110/22
-5/7.2/11+(-5)/7.9/11+12/7
=-5/7.2/11+-5/7.9/11+12/7
=-5/7.(2/11+9/11)+12/7
=-5/7.1+12/7
=(-5)/7+12/7
=7/7
=1
146/13-(18/7+68/13)
=146/13-18/7-68/13
=(146/13-68/13)-18/7
=78/13-18/7
=6-18/7
=42/7-18/7
=24/7
![](https://rs.olm.vn/images/avt/0.png?1311)
a: =-5/9-4/9+8/15+7/15-2/11=-2/11
b: =10/17+7/17-5/13-8/13+11/25
=11/25
c: =(9/12-2/12)*3/2=7/12*3/2=21/24=7/8
d: =(31/10-25/10)*3-2
=3/5*3-2
=9/5-2
=-1/5
![](https://rs.olm.vn/images/avt/0.png?1311)
a,
A=1−3−5−7−9−...−97−99a)A=1−3−5−7−9−...−97−99
=1−(3+5+7+...+99)=1−(3+5+7+...+99)
=1−(99+3).[(99−3):2+1]2=1−(99+3).[(99−3):2+1]2
=1−2499=−2498=1−2499=−2498
b)B=1+3−5−7+9+...+97−99b)B=1+3−5−7+9+...+97−99
=(−8)+(−8)+(−8)+...+(−8)+97−99=(−8)+(−8)+(−8)+...+(−8)+97−99
=(−8).12+(−2)=−98=(−8).12+(−2)=−98
c)C=1−3−5+7+9−11−13+15+...+97−99c)C=1−3−5+7+9−11−13+15+...+97−99
=0+0+0+0+0+...+0−99=0+0+0+0+0+...+0−99
=−99
![](https://rs.olm.vn/images/avt/0.png?1311)
1: =72/90+65/90=137/90
2: =24/56-77/56=-53/56
3: =-7/10+4/5=1/10
4: =15/100-4/100=11/100
5: =4/6-5/6=-1/6
6: =10/40-15/40-76/40=-81/40
7: =-9/10+7/18
=-81/90+35/90=-46/90=-23/45
8: =27/90-55/90=-28/90=-14/45
9: =36/60-50/60-35/60=-49/60
10: =-4/9+5/6-3/8
=-32/72+60/72-27/72
=1/72
![](https://rs.olm.vn/images/avt/0.png?1311)
a: =35/17-18/17-9/5+4/5
=1-1=0
b: =-7/19(3/17+8/11-1)
=7/19*18/187=126/3553
c: =26/15-11/15-17/3-6/13
=1-6/13-17/3
=7/13-17/3=-200/39
1: \(-\dfrac{1}{5}+\dfrac{5}{7}-\dfrac{7}{9}+\dfrac{9}{11}-\dfrac{11}{13}-\dfrac{13}{15}-\dfrac{9}{11}+\dfrac{7}{9}-\dfrac{5}{7}\)
\(=-\dfrac{1}{5}+\left(\dfrac{5}{7}-\dfrac{5}{7}\right)+\left(\dfrac{7}{9}-\dfrac{7}{9}\right)+\left(\dfrac{9}{11}-\dfrac{9}{11}\right)+\left(-\dfrac{11}{13}\right)-\dfrac{13}{15}\)
\(=-\dfrac{1}{5}-\dfrac{1}{13}-\dfrac{13}{15}=-\dfrac{16}{15}-\dfrac{1}{13}=\dfrac{-223}{195}\)
2: \(-\dfrac{1}{3}+\dfrac{3}{4}-\dfrac{4}{5}+\dfrac{5}{6}+\dfrac{6}{7}-\dfrac{7}{8}+\dfrac{6}{7}+\dfrac{5}{6}+\dfrac{4}{5}-\dfrac{3}{4}\)
\(=-\dfrac{1}{3}+\left(\dfrac{3}{4}-\dfrac{3}{4}\right)+\left(\dfrac{4}{5}-\dfrac{4}{5}\right)+\left(\dfrac{5}{6}+\dfrac{5}{6}\right)+\left(\dfrac{6}{7}+\dfrac{6}{7}\right)-\dfrac{7}{8}\)
\(=-\dfrac{1}{3}+\dfrac{5}{3}+\dfrac{12}{7}-\dfrac{7}{8}=\dfrac{4}{3}+\dfrac{12}{7}-\dfrac{7}{8}=\dfrac{365}{168}\)