999999999999999999999999999999999999999999999999999999+111111=
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![](https://rs.olm.vn/images/avt/0.png?1311)
Đặt
\(A=210.\left(\frac{111111}{121212}+\frac{111111}{202020}+\frac{111111}{303030}+\frac{111111}{424242}+\frac{111111}{565656}+\frac{111111}{727272}+\frac{111111}{909090}\right)\)
\(=210.\left(\frac{11}{12}+\frac{11}{20}+\frac{11}{30}+\frac{11}{42}+\frac{11}{56}+\frac{11}{72}+\frac{11}{90}\right)\)
\(=210.11\left(\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\right)\)
\(=2310.\left(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\right)\)
\(=2310.\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)
\(=2310.\left(\frac{1}{3}-\frac{1}{10}\right)\)
\(=2310.\frac{7}{30}\)
\(=539\)
210.(111111/121212 +111111/202020+11111/303030 + 111111/424242 +111111/565656 +111111/727272 +111111/909090)
= 210 . ( 11/12+11/20+11/42+11/56+11/72+11/90)
= 210.(11.(1/12+1/20+1/42+1/56+1/72+1/90))
=210.(11(1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10))
=210.(11.(1/3-1/10))
=210.(11.7/30)
=210.77/30
=593
T I C K GIÙM MIK
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\frac{111111}{121212}+\frac{111111}{202020}+\frac{111111}{303030}\)
\(A=\frac{11}{12}+\frac{11}{20}+\frac{11}{30}\)
\(A=\frac{55}{60}+\frac{33}{60}+\frac{22}{60}\)
\(A=\frac{110}{60}=\frac{11}{6}\)
bạn ơi rút gọn bằng cách nào vậy từ \(\dfrac{111111}{121212}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
1111111+111111+111111
=1111111+111111.2
=1111111+222222
=1333333
![](https://rs.olm.vn/images/avt/0.png?1311)
`10101(5/111111+5/222222+4/111111)`
`=10101(10/222222+5/222222+8/222222)`
`=10101xx23/222222`
`=23/22`
![](https://rs.olm.vn/images/avt/0.png?1311)
giúp mình nha nếu không biết làm thì khỏi thôi cũng dc chứ suy nghĩ nhiều đau đầu lắm:D
1000000000000000000000000000000000000000111110
Hok tot
999999999999999999999999999999999999999999999999999999 + 111111= 1e+54