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\(\left(1-\dfrac{1}{3}\right)\times\left(1-\dfrac{3}{7}\right)\times\left(1-\dfrac{3}{10}\right)\times\left(1-\dfrac{3}{97}\right)\times\left(1-\dfrac{3}{100}\right)\)
\(=\dfrac{2}{3}\times\dfrac{4}{7}\times\dfrac{7}{10}\times...\times\dfrac{94}{97}\times\dfrac{97}{100}\)
\(=\dfrac{2\times4\times7\times...\times94\times97}{3\times7\times10\times...\times97\times100}\)
\(=\dfrac{2\times4}{3\times100}=\dfrac{8}{300}=\dfrac{2}{75}\)
\(A=\dfrac{2}{3}\cdot\dfrac{4}{7}\cdot\dfrac{7}{10}\cdot...\cdot\dfrac{94}{97}\cdot\dfrac{97}{100}=\dfrac{2}{3}\cdot\dfrac{1}{25}=\dfrac{2}{75}\)
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a) Cách 1 : (3/4 + 1/2) x 5/7
= 5/4 x 5/7
= 25/28
Cách 2 : (3/4 + 1/2) x 5/7
= 3/4 x 5/7 + 1/2 x 5/7
= 15/28 + 5/14
= 25/28
b) Cách 1 : 5/7 x 13/21 + 2/7 x 13/21
= 65/147 + 26/147
= 13/21
Cách 2 : 5/7 x 13/21 + 2/7 x 13/21
= (5/7 + 2/7) x 13/21
= 1 x 13/21
= 13/21
câu c tự làm
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a) Cách 1
\(\frac{3}{4}\)x \(\frac{1}{2}\)x \(2\)
= \(\frac{3}{8}\)x \(2\)
= \(\frac{3}{4}\)
Cách 2
\(\frac{3}{4}\)x \(\frac{1}{2}\)x \(2\)
= \(\frac{3}{4}\)x \(\left(\frac{1}{2}x2\right)\)
= \(\frac{3}{4}\)x 1
= \(\frac{3}{4}\)
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7/5+4/5 7/20-1/4 5/4x3/9 7/2 : 8
=7+4/5 =7/20-5/20 =5/4x1/3 =7/2x 1/8
=11/5 =7-5/20 =5/12 =7/16
= 1/10
Nhớ tick đấy
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cách 1 :
dãy trên có số số hạng là : ( 103 - 1 ) : 2 + 1 = 52 ( số hạng )
tổng dãy trên là ( 52 : 2 ) x ( 103 + 1 ) = 2704
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1)5/7+7/9-2/3
=45/63+49/63-42/63
52/63
2)5/6 nhân 4/5 -17/30
=2/3-17/30
= 20/30-17/30
=3/10=1/10
3) 8/9:2/5-25/36
=8/9 nhân 5/2 -25/36
=20/9-25/36
=80/36-25/36
=55/36
\(\frac{1}{7}\times\frac{1}{3}:\frac{1}{7}=\left(\frac{1}{7}:\frac{1}{7}\right)\times\frac{1}{3}\)
\(=1\times\frac{1}{3}=\frac{1}{3}\)
HT
1/7 x 1/3 : 1/7
= 1/21 : 1/7
= 1/3