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\(\dfrac{1313}{1717}\) : \(\dfrac{1}{5}\) = \(\dfrac{13}{17}\) : \(\dfrac{1}{5}\) = \(\dfrac{65}{17}\)
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\(=\dfrac{13}{17}\cdot\dfrac{17}{19}\cdot\dfrac{19}{13}=1\)
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\(\dfrac{1717}{1515}=\dfrac{1717:101}{1515:101}=\dfrac{17}{15}\)
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a) 15/3 x 7/5 + 7/5 x 10/3 + 7/5
= (15/3 + 10/3 + 1) x 7/5
= 28/3 x 7/5
= 196/15
c) 2009 + 3567 + 6433 - 1009
= (2009 - 1009 ) + (3567 + 6433)
= 1000 + 10000
= 11000
\(\frac{15}{3}\)x\(\frac{7}{5}+\frac{7}{5}\)x\(\frac{10}{3}+\frac{7}{5}\)
= \(\frac{15}{3}\)x \(\frac{7}{5}+\frac{7}{5}\)x \(\frac{10}{3}+\frac{7}{5}x1\)
=\(\left(\frac{15}{3}+\frac{10}{3}+1\right)\)x \(\frac{7}{5}\)
= \(\frac{100}{3}\)x \(\frac{7}{5}\)
=\(\frac{140}{3}\)
\(\frac{1212}{1717}\)x \(\frac{165165}{132132}\)x\(\frac{515151}{515151}\)
= \(\frac{12}{17}\)x \(\frac{165}{132}\)x \(\frac{51}{51}\)
= \(\frac{12}{17}\)x\(\frac{165}{132}\)x 1
= \(\frac{165}{187}\)
2009 + 3567 + 6433 - 1009
= ( 2009 - 1009 ) + (3567 +6433 )
=1000 + 10000
= 11000
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a. 2/3 * 3/4 *4/5 ... = ... (1-1/3)*(1-1/4)*(1-1/5) (đều = 2/5 = 0.4)
b. 1313/1717*10101/105105 ... < ... 13/17*101/105
(1717+x):5=2840
=>x+1717=2840x5=14200
=>x=14200-1717=12483
\(\left(1717+x\right):5=2840\)
\(1717+x=2840\times5\)
\(1717+x=14200\)
\(x=14200-1717\)
\(x=12483\)