Evaluate
\frac{2018}{2019}\approx 0.999504705
Factor
\frac{2 \cdot 1009}{3 \cdot 673} = 0.9995047052996533
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\frac{2017\times 2018}{2017\times 2018+2017}
Divide 2017 by \frac{2017\times 2018+2017}{2018} by multiplying 2017 by the reciprocal of \frac{2017\times 2018+2017}{2018}.
\frac{4070306}{2017\times 2018+2017}
Multiply 2017 and 2018 to get 4070306.
\frac{4070306}{4070306+2017}
Multiply 2017 and 2018 to get 4070306.
\frac{4070306}{4072323}
Add 4070306 and 2017 to get 4072323.
\frac{2018}{2019}
Reduce the fraction \frac{4070306}{4072323} to lowest terms by extracting and canceling out 2017.
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