SOLUTION: Show that n(n+1)/(2n+4) is a reducible fraction.

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Question 989719: Show that n(n+1)/(2n+4) is a reducible fraction.

Answer by ikleyn(52819) About Me  (Show Source):
You can put this solution on YOUR website!
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The numerator n*(n+1) is divisible by 2 as the product of two consecutive integers.  So,  the numerator is an even number.

The denominator is  2n + 4 = 2*(n+2)  an even number too.

Thus  they both have the common factor 2.