Number Properties Puzzle – Challenge 2

This is another great math challenge for those of any age who love mathematics and math puzzles. $$(1+\frac{1}{2}) × (1+\frac{1}{3} ) × (1+ \frac{1}{4}) × (1+\frac{1}{5} ) ×$$ … $$× (1+ \frac{1}{2015}) = ?$$

A- $$\frac{2015}{2014}$$

B- $$\frac{2016}{1001}$$

C- $$1008$$

D- $$2015$$

E- $$2016$$

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Write the numbers in fraction form and simplify:
$$(\frac{3}{2}) × (\frac{4}{3}) × (\frac{5}{4}) × (\frac{6}{5}) ×$$ … $$× (\frac{2016}{2015}) = \frac{3×4×5×6×… ×2016}{2×3×4×5×6×… ×2015}= (\frac{2016}{2}) = 1008$$

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