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12007⋅2008+12008⋅2009+12009⋅2010+12010=ab\frac{1}{2007\cdot2008} + \frac{1}{2008\cdot2009} + \frac{1}{2009\cdot2010} + \frac{1}{2010} = \frac{a}{b}2007⋅20081+2008⋅20091+2009⋅20101+20101=ba
Find value of a+b
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