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$\dfrac{\dfrac{2}{3}+3·\dfrac{2}{3}-\bigg(\dfrac{5}{6}\bigg)^2}{\dfrac{7}{60}:\bigg(\dfrac{35}{31·37}+\dfrac{35}{37·43}+\dfrac{105}{43·61}+\dfrac{35}{61·67}\bigg)}$
$=\dfrac{\dfrac{2}{3}·(1+3)-\dfrac{25}{36}}{\dfrac{7}{60}:\Bigg[\dfrac{35}{6}·\bigg(\dfrac{1}{31·37}+\dfrac{1}{37·43}+\dfrac{1}{43·61}+\dfrac{1}{61·67}\bigg)\Bigg]}$
$=\dfrac{\dfrac{2}{3}·4-\dfrac{25}{36}}{\dfrac{7}{60}:\Bigg[\dfrac{35}{6}·\bigg(\dfrac{1}{31}-\dfrac{1}{37}+\dfrac{1}{37}-\dfrac{1}{43}+\dfrac{1}{43}-\dfrac{1}{61}+\dfrac{1}{61}-\dfrac{1}{67}\bigg)\Bigg]}$
$=\dfrac{\dfrac{8}{3}-\dfrac{25}{36}}{\dfrac{7}{60}:\Bigg[\dfrac{35}{6}·\bigg(\dfrac{1}{31}-\dfrac{1}{67}\bigg)\Bigg]}$
$=\dfrac{\dfrac{71}{36}}{\dfrac{7}{60}:\bigg(\dfrac{35}{6}·\dfrac{36}{2077}\bigg)}$
$=\dfrac{\dfrac{71}{36}}{\dfrac{7}{60}:\dfrac{210}{2077}}$
$=\dfrac{\dfrac{71}{36}}{\dfrac{2077}{1800}}$
`=71/36*1800/2077`
`=(127 800)/(74 772)`
`=3550/2077`
Hãy giúp mọi người biết câu trả lời này thế nào?
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