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ban ko tra loi ho minh cau nay a
neu the minh ket ban kieu gi
X x \(\frac{1}{3}\)+ X x \(\frac{2}{3}\)= 3
X x ( \(\frac{1}{3}\)+ \(\frac{2}{3}\)) = 3
X x 1 = 3
X = 3 : 1
X = 3
\(\frac{2}{5}:\frac{3}{7}x\frac{3}{7}:\frac{2}{5}+1999=\)\(\frac{2}{5}x\frac{7}{3}x\frac{3}{7}x\frac{5}{2}+1999=\)\(\left(\frac{2x7x3x5}{5x3x7x2}\right)+1999=\)\(1+1999=2000\)
\(\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{5}\right)\)\(=\left(\frac{2}{2}-\frac{1}{2}\right)\)\(x\left(\frac{3}{3}-\frac{1}{3}\right)\)\(x\left(\frac{4}{4}-\frac{1}{4}\right)\)\(x\left(\frac{5}{5}-\frac{1}{5}\right)\)\(=\frac{1}{2}x\frac{2}{3}x\frac{3}{4}x\frac{4}{5}=\)\(\frac{1x2x3x4}{2x3x4x5}=\frac{1x\left(2x3x4\right)}{\left(2x3x4\right)x5}=\frac{1}{5}\)\(.\)
2/5:3/7 nhân 3/7:2/5+1999
=2/5 nhân 7/3 nhân 3/7nhân 5/2+1999
=14/15 nhân 15/14+1999
=1+1999
=2000
(1-1/2) nhân (1-1/3) nhân (1-1/4) nhân (1-1/5)
=1/2 nhân 2/3 nhân 3/4 nhân 4/5
=24/120
=1/5
\(2x\frac{1}{2}x3x\frac{1}{3}x4x\frac{1}{4}x5x\frac{1}{5}\)
\(=\left(2x\frac{1}{2}\right)x\left(3x\frac{1}{3}\right)x\left(4x\frac{1}{4}\right)x\left(5x\frac{1}{5}\right)\)
\(=\frac{2}{2}x\frac{3}{3}x\frac{4}{4}x\frac{5}{5}\)
\(=1x1x1x1\)
\(=1\)
Chúc bạn học tốt !!!
\(=\left(1+\frac{1}{2}\right)\cdot\left(1+\frac{1}{3}\right)\cdot\left(1+\frac{1}{4}\right)\cdot....\cdot\left(1+\frac{1}{2010}\right)\)
\(=\frac{3}{2}\cdot\frac{4}{3}\cdot\frac{5}{4}\cdot...\cdot\frac{2011}{2010}\)
\(=\frac{3\cdot4\cdot5\cdot...\cdot2011}{2\cdot3\cdot4\cdot...\cdot2010}\)
\(=\frac{2011}{2}\)
Chúc em học tốt
\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{5}\right)...\times\left(1-\frac{1}{100}\right)\)
=\(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times...\times\frac{99}{100}\)
=\(\frac{1\times2\times3\times4\times...\times99}{2\times3\times4\times5\times...\times100}\)
= \(\frac{1}{100}\)
x x 1/2 = 1- 1/3
x x 1/2 = 2/3
x = 2/3 : 1/2
x = 4/3
X ×1/2 =2/3
X =2/3:1/2
X =4/3