13/15-13/45=
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Đặt \(A=\frac{13}{3}+\frac{13}{6}+\frac{13}{10}+\frac{13}{15}+\frac{13}{21}+\frac{13}{28}+\frac{13}{36}+\frac{13}{45}+\frac{13}{55}\)
\(A=\frac{26}{6}+\frac{26}{12}+\frac{26}{20}+\frac{26}{30}+\frac{26}{42}+\frac{26}{56}+\frac{26}{72}+\frac{26}{90}+\frac{26}{110}\)
\(A=26\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{110}\right)\)
\(A=26\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}+\frac{1}{10.11}\right)\)
\(A=26\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{10}-\frac{1}{11}\right)\)
\(A=26\left(\frac{1}{2}-\frac{1}{11}\right)\)
\(A=26.\frac{9}{22}\)
\(A=\frac{117}{11}\)
Vậy \(A=\frac{117}{11}\)
Chúc bạn học tốt ~
![](https://rs.olm.vn/images/avt/0.png?1311)
-5 + (-37 - 45 + 51) - (-37 + 51)
= -5 - 37 - 45 + 51 + 37 - 51
= - (5 + 45) - (37 - 37) + (51 - 51)
= - 50 - 0 + 0
= - 50
- (15 - 47 + 58) + (15 - 47 ) + 3
= - 15 + 47 - 58 + 15 - 47 + 3
= (-15 + 15) + (47 - 47) - (58 - 3)
= 0 + 0 - 55
= - 55
(53 - 45 - 49) - (53 + 45 - 49)
= 53 - 45 - 49 - 53 - 45 + 49
= (53 - 53) + (-49 + 49) - (45 + 45)
= 0 + 0 - 90
= - 90
13 - 15 + 49 - 13 + 15 - 48
= (13 - 13) + (-15 + 15) + (49 - 48)
= 0 + 0 + 1
= 1
![](https://rs.olm.vn/images/avt/0.png?1311)
TK
a) (35 - 15).(-4) + 24.(-13 - 17)
= 20.(-4) + 24.(-30)
= (-80) + (-720)
b) (-13).(57 - 34) +57. (13 - 45)
= (-13).23 + 57.(-32)
= (-299) + (-1824)
= -2123
\(\frac{15}{17}x\frac{45}{13}-\frac{15}{17}x\frac{10}{13}-\frac{9}{13}x\frac{15}{17}-\frac{15}{17}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\frac{15}{17}x\left(\frac{45}{13}-\frac{10}{13}-\frac{9}{13}-1\right)\\ =\frac{15}{17}x1=\frac{15}{17}\)
\(\frac{15}{17}\times\frac{45}{13}-\frac{15}{17}\times\frac{10}{13}-\frac{9}{13}\times\frac{15}{17}-\frac{15}{17}\)
\(=\frac{15}{17}\times\left(\frac{45}{13}-\frac{10}{13}-\frac{9}{13}-1\right)\)
\(=\frac{15}{17}\times1\)
\(=\frac{15}{17}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1: =20*(-4)+24(-30)
=-80-720=-800
2: =-13*57+13*32+57*13-57*45
=13*32-57*45=-2149
3: =-12*8*125
=-12*1000=-12000
4: =(-134)(1-51+48)
=(-134)*(-2)=268
5: =(-24)(45-5)=40*(-24)=-960
![](https://rs.olm.vn/images/avt/0.png?1311)
a ) 25 - ( - 75 ) + 32 - ( 32 + 75
= 25 + 75 + 32 - 32 - 75
= 100 + 0 - 75
= 25
b ) 24 . ( 16 - 5 ) - 16 . ( 24 - 15 )
= 24 . 11 - 16 . 9
= 264 - 144
= 120
c ) 29 . ( 19 - 13 ) - 19 - ( 29 - 13 )
29 . 6 - 19 - 29 + 13
= 174 - 19 - 29 + 13
= 126 + 13
= 139
d ) ( 55 + 45 15 ) - ( 15 - 55 + 45 )
= 4570 - 15 + 10
= 4555 + 10
= 4565
![](https://rs.olm.vn/images/avt/0.png?1311)
= \(\frac{13}{45}x\left(\frac{15}{26}-1\frac{1}{26}+\frac{11}{26}\right)=\frac{13}{45}x\left(\frac{15}{26}-\frac{27}{26}+\frac{11}{26}\right)=\frac{13}{45}x\left(\frac{27}{26}-\frac{27}{26}\right)=\frac{13}{45}x0=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{13}{15}-\dfrac{13}{45}=\dfrac{13\times3}{15\times3}=\dfrac{39}{45}-\dfrac{13}{45}=\dfrac{26}{45}\)