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\(\frac{9\cdot8\cdot33}{56\cdot54\cdot11}=\frac{9\cdot8\cdot3\cdot11}{8\cdot7\cdot9\cdot3\cdot2\cdot11}=\frac{1}{7\cdot2}=\frac{1}{14}\)
\(\frac{8\cdot15+16\cdot4-8\cdot21}{16\cdot5-8\cdot9}=\frac{8\cdot15+8\cdot2\cdot4-8\cdot21}{2\cdot8\cdot5-8\cdot9}=\frac{8\cdot15+8\cdot8-8\cdot21}{8\cdot10-8\cdot9}=\frac{8\left(15+8-21\right)}{8\left(10-9\right)}=\frac{8\cdot2}{8\cdot1}=\frac{2}{1}=2\)
1 1/5 x 1 1/6 x 1 1/7 x ... x 1 1/2006
= 6/5 x 7/6 x 8/7 x ... 2007/2006
= 1/5 x 1/2006
= 1/10030
Mình ko chắc đâu bạn! Nhưng mình vẫn chúc bạn hok tốt nha!
Bạn Crystal ơi, làm thế nào mà bạn ra được \(\frac{1}{5}\)vậy ạ?
\(\frac{2011x2011x20102010-2010x2010x20112011}{2011x2010x20092009}\)
\(=\frac{2011x2011x2010x10001-2010x2010x2011x10001}{2011x2010x2009x10001}\)
\(=\frac{2011x2010x10001\left(2011-2010\right)}{2011x2010x2009x10001}\)
\(=\frac{2011x2010x10001}{2011x2010x2009x10001}\)
= 1/2009
NHƯ NÀY NÈ:
\(\frac{36}{6}\cdot\frac{36}{7}=\frac{36\cdot36}{6\cdot7}=\frac{36\cdot6\cdot6}{6\cdot7}=\frac{36\cdot6}{7}=\frac{216}{7}=30\frac{6}{7}\)
MK KHÔNG BIẾT CÓ ĐÚNG KO.
K MK NHA. (NẾU ĐÚNG ^_^)
Gọi \(A=\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+...+\frac{1}{22.25}\)
\(\Leftrightarrow\)\(3A=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{22.25}\)
\(\Leftrightarrow\)\(3A=\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{22}-\frac{1}{25}\)
\(\Leftrightarrow\)\(3A=1-\frac{1}{25}\)
\(\Leftrightarrow\)\(3A=\frac{24}{25}\)
\(\Leftrightarrow\)\(A=\frac{24}{25}:3\)
\(\Leftrightarrow\)\(A=\frac{24}{25}.\frac{1}{3}\)
\(\Leftrightarrow\)\(A=\frac{8}{25}\)
Vậy \(A=\frac{8}{25}\)
Đặt \(C=\frac{1}{1.4}+\frac{1}{4.7}+...+\frac{1}{22.25}\)
\(\Rightarrow3C=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+....+\frac{3}{22.25}\)
\(\Rightarrow3C=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{22}-\frac{1}{25}\)
\(\Rightarrow3C=1-\frac{1}{25}=\frac{24}{25}\)
\(\Rightarrow C=\frac{24}{25}:3=\frac{8}{25}\)
Vậy \(\frac{1}{1.4}+\frac{1}{4.7}+...+\frac{1}{22.25}=\frac{8}{24}\)
\(\frac{2006\times125+100}{125\times200-880}=\frac{250850}{24120}\)
\(\frac{8x15+16x4-8x21}{16x5-8x7}\)
\(\Rightarrow=\frac{120+64-168}{80-56}=\frac{16}{24}=\frac{2}{3}\)
Ủng hộ đi nhen
\(\frac{8\times25+16\times4-8\times21}{16\times5-8\times7}\)
\(\Rightarrow\frac{120+64-168}{80-56}\)
\(\Rightarrow\frac{16}{24}=\frac{2}{3}\)