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\frac{2014\times 2015}{2014\times 2015+2014}
Divide 2014 by \frac{2014\times 2015+2014}{2015} by multiplying 2014 by the reciprocal of \frac{2014\times 2015+2014}{2015}.
\frac{4058210}{2014\times 2015+2014}
Multiply 2014 and 2015 to get 4058210.
\frac{4058210}{4058210+2014}
Multiply 2014 and 2015 to get 4058210.
\frac{4058210}{4060224}
Add 4058210 and 2014 to get 4060224.
\frac{2015}{2016}
Reduce the fraction \frac{4058210}{4060224} to lowest terms by extracting and canceling out 2014.