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`(3/29-1/15) xx 29/3`
`=3/29 xx 29/3 - 1/15 xx 29/3`
`=1 - 29/45`
`=16/45`
![](https://rs.olm.vn/images/avt/0.png?1311)
A=4/3+7/6+11/10+16/15+22/21+29/28+37/36+46/45
A = ( 1 + 1/3 ) + ( 1 + 1/6 ) + ( 1 + 1/10 ) + ( 1 + 1/15 ) + ( 1 + 1/21 ) + ( 1 + 1/28 ) + ( 1 + 1/36 ) + ( 1 + 1/45 )
A = ( 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 ) + - ( 1/3 + 1/6 + 1/10 + 1/15 + 1/21 + 1/28 + 1/36 + 1/45 )
A = 8 + 4/5
A = 44/5
A = 4/3 + 7/6 + 11/10 + 16/15 + 22/21 + 29/28 + 37/36 + 46/45
A = ( 1 + 1/3 ) + ( 1 + 1/6 ) + ( 1 + 1/10 ) + ( 1 + 1/15 ) + ( 1 + 1/21 ) + ( 1 + 1/28 ) + ( 1 + 1/36 ) + ( 1 + 1/45 )
A = ( 1 + 1 + 1 + ... + 1 ) - ( 1/3 + 1/6 + 1/10 + 1/15 + 1/21 + 1/28 + 1/36 + 1/45 )
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{20}+\frac{1}{30}+...+\frac{1}{132}\)
\(\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+...+\frac{1}{11.12}\)
\(=\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{11}-\frac{1}{12}\)
\(=\frac{1}{4}-\frac{1}{12}=\frac{3-1}{12}=\frac{2}{12}=\frac{1}{6}\)
\(\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{110}+\frac{1}{132}\)
\(\frac{1}{4\times5}+\frac{1}{5\times6}+\frac{1}{6\times7}+\frac{1}{7\times8}+\frac{1}{8\times9}+...+\frac{1}{11\times12}\)
\(=\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}+...+\frac{1}{11}-\frac{1}{12}\)
\(=\frac{1}{4}-\frac{1}{12}=\frac{3-1}{12}\)
\(=\frac{2}{12}=\frac{1}{6}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
29.15 - 14 / 29 x 14 + 15
= 29 x 14 + 29 - 14 / 29 x 14 + 15
= 29 x 14 + 15 / 29 x 14 + 15
= 1
![](https://rs.olm.vn/images/avt/0.png?1311)
A = (29 x 2019 + 71 x 2019) : 100 - 19
A = [2019 x (29 + 71)] : 100 - 19
A = (2019 x 100) : 100 - 19
A = 2019 - 19
A = 2000
B = (3/4 + 5/6) : 1\(\frac{7}{12}\)- 1/2
B = (9/12 + 10/12) : 19/12 - 1/2
B = 19/12 : 19/12 - 1/2
B = 1 - 1/2
B = 1/2
A = (29 x 2019 + 71 x 2019) : 100 - 19
A = [2019 x (29 + 71)] : 100 - 19
A = (2019 x 100) : 100 - 19
A = 2019 - 19
A = 2000
a,3/29.29/3-1/15.29/3=1-29/45=16/45
b,23/27(7/9-5/9-1)=23/27(-7/9)=161/243