\(A=\frac{13+14+...+28+29}{13+14+...+28}=?\)
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3/14:1/28-13/21:1/28+29/42:-1/28-8
=3/14.28-13/21.28+29/42.(-28)-8
=3/14.28-13/21.28+-29/42.28-8
=(3/14-13/21+ -29/42).28-8
=-23/21.28-8
=-92/3-8=-116/3
![](https://rs.olm.vn/images/avt/0.png?1311)
3/14:1/28-13/21:1/28+29/42:1/28-8=(3/14-13/21+29/42):1/28-8=2/7:1/28-8=8-8=0
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\(=28\left(\dfrac{3}{14}-\dfrac{13}{21}-\dfrac{29}{42}\right)-8\\ =28\cdot\dfrac{-23}{21}-8=-\dfrac{92}{3}-8=-\dfrac{116}{3}\)
\(C=\dfrac{3}{14}:\dfrac{1}{28}-\dfrac{13}{21}:\dfrac{1}{28}-\dfrac{29}{42}:\dfrac{1}{28}-8\)
\(=28\left(\dfrac{3}{14}-\dfrac{13}{21}-\dfrac{29}{42}\right)-8\)
\(=28\left(\dfrac{9}{42}-\dfrac{26}{42}-\dfrac{29}{42}\right)-8\)
\(=28\cdot\dfrac{-46}{42}-8\)
\(=\dfrac{-116}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
c: \(\dfrac{3}{14}:\dfrac{1}{28}-\dfrac{13}{21}:\dfrac{1}{28}\)
\(=28\left(\dfrac{3}{14}-\dfrac{13}{21}\right)\)
\(=28\cdot\left(\dfrac{9}{42}-\dfrac{26}{42}\right)\)
\(=28\cdot\dfrac{-17}{42}=\dfrac{-34}{3}\)
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Xét tổng 13 + 14 + ... + 28
Số số hạng là (28 - 13) + 1 = 16 (số hạng)
Tổng này là (28 + 13) x 16 : 2 = 328
Vậy \(A=\frac{13+14+...+28+29}{13+14+...+28}=1+\frac{29}{13+14+...+28}=1+\frac{29}{328}=1\frac{29}{328}\)
\(A=\frac{\left(13+29\right)\times17:2}{\left(13+28\right)\times16:2}=\frac{21\times17}{41\times8}=\frac{357}{328}\)