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= 54 x 275 + 275 x 3 x 15 + 275
= 54 x 275 + 275 x 45 + 275
= 275 x ( 54 + 45 + 1 )
= 275 x 100 = 27500
đúng thì ủng hộ nha mấy bạn
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có :
\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2013.2014}\)
\(=\)\(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2013}-\frac{1}{2014}\)
\(=\)\(1-\frac{1}{2014}\)
\(=\)\(\frac{2014}{2014}-\frac{1}{2014}\)
\(=\)\(\frac{2013}{2014}\)
Vậy \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2013.2014}=\frac{2013}{2014}\)
Dấu \(.\) là dấu nhân nhé
Chúc bạn học tốt ~
\(\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+...+\frac{1}{2013\times2014}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2013}-\frac{1}{2014}\)
\(=1-\frac{1}{2014}\)
\(=\frac{2013}{2014}\)
CHÚC BN HỌC TỐT!!!!!
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
\(=\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}\)
\(=\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
\(=\frac{1}{4}-\frac{1}{7}\)
\(=\frac{7}{28}-\frac{4}{28}\)
\(=\frac{3}{28}\)
Chúc bạn học tốt
Ta có :
\(\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
\(=\)\(\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\)
\(=\)\(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
\(=\)\(\frac{1}{4}-\frac{1}{7}\)
\(=\)\(\frac{3}{28}\)
Chúc bạn học tốt ~
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{3}{4}\times\frac{9}{7}\times\frac{11}{25}\)
\(=\frac{297}{700}\)
Chúc bn học tốt!!!!!
![](https://rs.olm.vn/images/avt/0.png?1311)
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9
= ( 1 + 9 ) + ( 2 + 8 ) + ( 3 + 7 ) + ( 4 + 6 ) + 5
= 10 + 10 + 10 + 10 + 5
= 40 + 5
= 45
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\frac{4\times5\times6\times7}{5\times6\times7\times8}\)
\(=\frac{4\times5\times6\times7}{5\times6\times7\times4\times2}\)
\(=\frac{1}{2}\)
b) \(\frac{10\times6\times7}{5\times14\times8}\)
\(=\frac{5\times2\times6\times7}{5\times7\times2\times8}\)
\(=\frac{3}{4}\)
tự gạch các từ giống nhau nha
![](https://rs.olm.vn/images/avt/0.png?1311)
1/4*5+1/5*6+1/6*7+1/7*8=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8
=1/4-1/8
1/8
\(54\times275+825\times15+275\)
\(=54\times275+275\times3\times15+275\)
\(=54\times275+275\times45+275\)
\(=275\times\left(54+45+1\right)\)
\(=275\times100\)
\(=27500\)
= 54 x 275 + 275 x ( 3 x 15 ) + 275 x 1
= 54 x 275 + 275 x 45 + 275 x 1
= 275 x ( 54 + 45 + 1 )
= 275 x 100
= 27 500