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(1-1/2)×(1-1/3)×(1-1/4 )×...×(1-1/2006)×(1-1/2007)
=(2/2-1/2)×(3/3-1/3)×(4/4-1/4)×..×(2006/2006-1/2006)×(2007/2007-1/2007)
=1/2×2/3×3/4×..×2005/2006×2006/2007
=1/2007
\(\frac{1}{10}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{5}\cdot\frac{5}{4}\cdot\frac{4}{3}\cdot\frac{3}{2}=\frac{1}{10}\)
\(\frac{1}{10}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\times\frac{6}{5}\times\frac{5}{4}\times\frac{4}{3}\times\frac{3}{2}\)\(\frac{3}{2}\)
\(=\frac{1}{10}\times\left(\frac{2}{3}\times\frac{3}{2}\right)\times\left(\frac{3}{4}\times\frac{4}{3}\right)\times\left(\frac{4}{5}\times\frac{5}{4}\right)\times\left(\frac{5}{6}\times\frac{6}{5}\right)\)
\(=\frac{1}{10}\times1\times1\times1\times1\)
\(=\frac{1}{10}\)
#Chúc bạn học tốt !
#k cho mình nhé ?
\(\frac{3}{2}\times\frac{4}{5}\times\frac{2}{6}\times\frac{15}{4}\)
\(=\frac{6}{5}\times\frac{2}{6}\times\frac{15}{4}\)
\(=\frac{2}{5}\times\frac{15}{4}\)
\(=\frac{3}{2}\)
\(=\frac{3}{4}\left(\frac{8}{9}+\frac{2}{3}\right)=\frac{3}{4}\left(\frac{8}{9}+\frac{6}{9}\right)=\frac{3}{4}x\frac{14}{9}=\frac{7}{6}..\)
mình nhầm chỗ \(\frac{8}{9}\)và \(\frac{3}{4}\)có một dấu cộng
\(\frac{3}{4}\times\frac{9}{7}\times\frac{11}{25}\)
\(=\frac{297}{700}\)
Chúc bn học tốt!!!!!
\(\frac{1}{2}:\frac{3}{2}:\frac{5}{4}:\frac{6}{5}:\frac{7}{6}:\frac{8}{7}\)
\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\)
\(=\frac{1\cdot\left(2\cdot5\cdot6\cdot7\right)}{8\cdot3\cdot\left(2\cdot5\cdot6\cdot7\right)}\)
\(=\frac{1}{24}\)
\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\cdot\frac{8}{9}\cdot\frac{9}{10}\)
\(=\frac{1\cdot\left(2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\right)}{\left(2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\right)\cdot10}\)
\(=\frac{1}{10}\)
6/3+4=6; 4/5x3/7=12/35; 6/7:2/3=9/7; 3/5-6/7 thì đề sai nhé,6/7-3/5=9/35
a) \(\left(\frac{5}{12}+\frac{1}{4}\right)\cdot\frac{6}{4}=\left(\frac{5}{12}+\frac{3}{12}\right)\cdot\frac{3}{2}=\frac{8}{12}\cdot\frac{3}{2}\)\(=\frac{24}{24}=1\)
b) \(\left(\frac{5}{3}-\frac{7}{6}\right):\frac{2}{5}=\left(\frac{10}{6}-\frac{7}{6}\right):\frac{2}{5}=\frac{3}{6}:\frac{2}{5}\)\(=\frac{1}{2}:\frac{2}{5}=\frac{5}{4}\)
a.(5/12+1/4)+6/4
=(5/12+3/12)+6/4
=8/12+6/4
=8/12+18/12
=20/12
=5/3
b.(5/3-7/6):2/5
=(30/18-21/18):2/5
=9/18:2/5
=1/2:2/5
=1/2*5/2
=5/4
