2323+2323
=?
2323/202+2323/606+2323/1212+2323/2020+2323/3030+2323/4242+2323/5656+2323/7272+2323/9090. Tính nhanh
2323/202+2323/606+2323/1212+2323/2020+2323/3030+2323/4242+2323/5656+2323/7272+2323/9090.=
\(\frac{23\times101}{2\times101}+\frac{23\times101}{6\times101}+\frac{23\times101}{12\times101}+....+\frac{23\times101}{72\times101}+\frac{23\times101}{90\times101} \)
=\(\frac{23}{2}+\frac{23}{6}+..........+\frac{23}{72}+\frac{23}{90}\)
=\(23\times\left(\frac{1}{1\times2}+\frac{1}{2\times3}+.....+\frac{1}{9\times10}\right)\)
=\(23\times\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}_{ }\right)\)
=\(23\left(1-\frac{1}{10}\right)_{ }\)
=\(23\times\frac{9}{10}\)
==\(\frac{207}{10}\)
chúc học giỏi nha bn
so sánh 2323/2323 va 20132013/20132013
tính chậm:
3434*2323+2323*5656=?
4244*1234+4543*1234=?
a/
=2323 x (3434+5656)
=2323 x 9090
=21 116 070
b/
=1234 x (4244+4543)
=1234 x 8787
=10 843 159
B1: So sánh
a) n+1/n+2 và n/n+3
b) A= 3535*232323/353535*2323 và B=3535/3534 và C= 2323/2322
121212/353535+-2323/4242
\(\dfrac{121212}{353535}+-\dfrac{2323}{4242}\)
\(=\dfrac{12}{35}+-\dfrac{23}{42}\)
\(=-\dfrac{43}{210}\)
\(=\dfrac{12}{35}-\dfrac{23}{42}=\dfrac{72-115}{210}=\dfrac{-43}{210}\)
1919/2323 x 464646/747474
Tính nhanh : 2323/1818x7272/6969
\(\dfrac{2323}{1818}\) . \(\dfrac{7272}{6969}\)
= \(\dfrac{23\cdot101}{18\cdot101}\) . \(\dfrac{18\cdot4\cdot101}{23\cdot3\cdot101}\)
= \(\dfrac{23}{18}\cdot\dfrac{18\cdot4}{23\cdot3}=\dfrac{4}{3}\)
tìm x
1313/2828 + x = 2323/4646
\(\dfrac{1313}{2828}+x=\dfrac{2323}{4646}\\ \dfrac{13}{28}+x=\dfrac{1}{2}\\ x=\dfrac{1}{2}-\dfrac{13}{28}\\ x=\dfrac{14}{28}-\dfrac{13}{28}\\ x=\dfrac{1}{28}\)