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3+3/5+3/25+3/125+3/625= 3/625x(625+125+25+5+1)= 3x781/625=2343/625
chu y: vi 3=3x625/625
3/5=3x125/125x5=3x125/625
3/25=3x25/25x25=3x25/625
3/125=3x5/125x5=3x5/625
3/625=3x1/625
cộng các kết quả trên và đặt 3/625 làm nhân từ chúng ta có kết quả như trên.
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Đặt A=3+3/5+3/25+3/125+3/625=3/5+3/5^1+3/5^2+3/5^3+3/5^4
5A=15+3+3/5^1+3/5^2+3/5^3
5A-A=(15+3+3/5^1+3/5^2+3/5^3)-(3+3/5^1+3/5^2+3/5^3+3/5^4)
4A=15-3/625=9372/625
A=2343/625
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\(3+\frac{3}{5}+\frac{3}{25}+\frac{3}{125}+\frac{3}{625}\)
\(\Rightarrow\frac{3}{1}\cdot\frac{1}{625}+\frac{3}{5}\cdot\frac{1}{125}+\frac{3}{125}\cdot\frac{1}{5}+\frac{3}{625}\)
\(\Rightarrow\frac{3}{625}+\frac{3}{625}+\frac{3}{625}+\frac{3}{625}\)
\(\Rightarrow\frac{3}{625}\cdot4\)
\(\Rightarrow\frac{12}{625}\)
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3 + 3/5 + 3/25 + 3/125 + 3/625
= 1875/625 + 375/625 + 75/625 + 15/625 + 3/625
= 2250/625 + 90/625 + 3/625
= 2340/625 + 3/625
= 2343/625
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\(3+\frac{3}{5}+\frac{3}{25}+\frac{3}{125}+\frac{3}{625}\)
\(=3\times\left(1+\frac{1}{5}+\frac{1}{25}+\frac{1}{125}+\frac{1}{625}\right)\)
\(=3\times\left(\frac{625}{625}+\frac{125}{625}+\frac{25}{625}+\frac{5}{625}+\frac{1}{625}\right)\)
\(=3\times\frac{625+125+25+5+1}{625}\)
\(=3\times\frac{781}{625}=\frac{3\times781}{625}=\frac{2343}{625}\)
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\(\dfrac{3}{1\cdot3\cdot5}+\dfrac{3}{3\cdot5\cdot7}+\dfrac{3}{5\cdot7\cdot9}+\cdot\cdot\cdot+\dfrac{3}{37\cdot39\cdot41}\)
\(=\dfrac{3}{4}\left(\dfrac{4}{1\cdot3\cdot5}+\dfrac{4}{3\cdot5\cdot7}+\dfrac{4}{5\cdot7\cdot9}+\cdot\cdot\cdot+\dfrac{4}{37\cdot39\cdot41}\right)\)
\(=\dfrac{3}{4}\left(\dfrac{1}{1\cdot3}-\dfrac{1}{3\cdot5}+\dfrac{1}{3\cdot5}-\dfrac{1}{5\cdot7}+\dfrac{1}{5\cdot7}-\dfrac{1}{7\cdot9}+\cdot\cdot\cdot+\dfrac{1}{37\cdot39}-\dfrac{1}{39\cdot41}\right)\)
\(=\dfrac{3}{4}\left(\dfrac{1}{3}-\dfrac{1}{39\cdot41}\right)\)
\(=\dfrac{3}{4}\cdot\dfrac{532}{1599}=\dfrac{133}{533}\)
#Ayumu
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`3/7 xx 1/9 + 3/7 xx 8/9`
`= 3/7 xx (1/9 +8/9)`
`= 3/7 xx 9/9`
`= 3/7 xx 1`
`=3/7`
`3/7xx1/9+3/7xx8/9`
`=3/7xx(1/9+8/9)`
`=3/7xx9/9`
`=3/7xx1`
`=3/7`
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134415 - 134415 : 45 = 134415 - 2987
= 131428
325 * 1574 - 325 * 325 - 325 * 249 = 325 * ( 1574 - 325 - 249 )
= 325 * 1000
= 325000
2 * 8 * 50 * 25 * 125 = ( 2 * 50 ) * 125 * ( 8 * 25 )
= 100 * 125 * 200
= 12500 * 200
= 2500000
2 * 3 * 4 * 5 * 50 * 25 = ( 2 * 50 ) * ( 5 * 4 ) * ( 4 * 25 ) * 3
= 100 * 20 * 100 * 3
= 100 * ( 20 * 3 )
= 100 * 60
= 6000
9/8/28/128/625