Francisco P. answered 10/06/14
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Rigorous Physics Tutoring
4/9x + 5/x + 8 has a least common denominator of 9x because 9x, x, and 1 divides 9x.
Rewrite each term using the same denominator:
5/x = 9·5/9x = 45/9x
8 = 8/1 = 9x·8/9x = 72x/9x
Use the rewritten terms:
4/9x + 45/9x + 72x/9x = (4 + 45 + 72x)/9x = (72x + 49)/9x