SOLUTION: Show that n(n+1)/(2n+4) is a reducible fraction.
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Question 989719
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Show that n(n+1)/(2n+4) is a reducible fraction.
Answer by
ikleyn(52819)
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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.