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Ta có: \(\frac{373737}{474747}=\frac{373737:10101}{474747:10101}=\frac{37}{47}\)
\(\frac{5757}{4747}=\frac{5757:101}{4747:101}=\frac{57}{47}\)
\(\Rightarrow A=\frac{373737}{474747}+\frac{5757}{4747}=\frac{37}{47}+\frac{57}{47}=\frac{37+57}{47}=\frac{94}{47}=2\)
Vậy A = 2
rút gọn đi:373737/474747= 37/47 5757/4747=57/47
A=37/47+57/47= 94/47=2
Lời giải:
$\frac{373737}{474747}+\frac{5757}{4747}$
$=\frac{373737:10101}{474747:10101}+\frac{5757:101}{4747:101}$
$=\frac{37}{47}+\frac{57}{47}=\frac{94}{47}=2$
37/42+37/56+37/72 = 37(1/42+1/56+1/72)=37( 1/6.7 + 1/7.8 + 1/8.9 )= 37( 1/6 - 1/7 + 1/7 - 1/8 + 1/8 - 1/9)= 37( 1/6 - 1/9)= 37.1/18=37/18
=13/12x14/13x15/14x16/15x...x2006/2005x2007/2006x2008/2007
=2008/12
=502/3
A = 1\(\dfrac{1}{12}\) \(\times\) 1\(\dfrac{1}{13}\) \(\times\) 1\(\dfrac{1}{14}\) \(\times\) 1\(\dfrac{1}{15}\) \(\times\) ... \(\times\) 1\(\dfrac{1}{2005}\) \(\times\) 1\(\dfrac{1}{2006}\) \(\times\) 1\(\dfrac{1}{2007}\)
A = ( 1 + \(\dfrac{1}{12}\)) \(\times\) ( 1 + \(\dfrac{1}{13}\)) \(\times\) ( 1 + \(\dfrac{1}{14}\)) \(\times\)...\(\times\) ( 1 + \(\dfrac{1}{2006}\))\(\times\)(1+\(\dfrac{1}{2007}\))
A = \(\dfrac{13}{12}\) \(\times\) \(\dfrac{14}{13}\) \(\times\) \(\dfrac{15}{14}\) \(\times\) ...\(\times\) \(\dfrac{2007}{2006}\) \(\times\) \(\dfrac{2008}{2007}\)
A = \(\dfrac{13\times14\times15\times...\times2007}{13\times14\times15\times...\times2007}\) \(\times\) \(\dfrac{2008}{12}\)
A = 1 \(\times\) \(\dfrac{502}{3}\)
A = \(\dfrac{502}{3}\)
\(\dfrac{373737}{474747}+\dfrac{5757}{4747}\)
\(\left(=\dfrac{373737:10101}{474747:10101}+\dfrac{5757:101}{4747:101}\right)\)
\(=\dfrac{37}{47}+\dfrac{57}{47}=\dfrac{37+57}{47}=\dfrac{94}{47}=2\)
toán lớp 5 nâng cao à?