a: \(=\dfrac{-3}{7}+\dfrac{2}{9}=\dfrac{-27+14}{63}=\dfrac{-13}{63}\)
b: \(=\dfrac{-5}{11}+\dfrac{6}{7}=\dfrac{-35+66}{77}=\dfrac{31}{77}\)
c: \(=\dfrac{2004-24}{2010}=\dfrac{1980}{2010}=\dfrac{66}{67}\)
\(\dfrac{36}{-84}+\dfrac{100}{450}=-\dfrac{3}{7}+\dfrac{2}{9}=\dfrac{-27}{63}+\dfrac{14}{63}=\dfrac{-27+14}{63}=-\dfrac{13}{63}\)
\(-\dfrac{650}{1430}+\dfrac{588}{686}=\dfrac{-5}{11}+\dfrac{6}{7}=\dfrac{-35}{77}+\dfrac{66}{77}=\dfrac{-35+66}{77}=\dfrac{31}{77}\)
\(\dfrac{2004}{2010}+\dfrac{8}{-670}=\dfrac{334}{335}-\dfrac{4}{335}=\dfrac{334-4}{335}=\dfrac{330}{335}=\dfrac{66}{67}\)
`36/(-84) + 100/450`
`=(-3)/7 + 2/9`
`=(-27)/63 + 14/63`
`=(-13)/63`
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`(-650)/1430 + 588/686`
`= (-5)/11 + 6/7`
`= (-35)/77 + 66/77`
`= 33/77`
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`2004/2010 + 8/(-670)`
`=334/335 - 4/335
`= 330/335`
`=66/67`