Posted by **barb** on Thursday, July 29, 2010 at 12:35am.

is there a common multipple for 116, and 145? Can 116/145 be reduced or simplified? I have been agonizing for an hour over this. Please show me the answer.

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**Damon**, Thursday, July 29, 2010 at 5:15am
There is always a common multiple, the product of the two numbers.

However look for a smaller one by factoring each.

116 = 2*58 = 2*2*29

145 = 5*29

so we need

29 and 5 and 2 and 2

= 580

check:

580/116 = 5

580/145 = 4 good

Well, we already know we can divide top and bottom of the fraction by 29 to simplify it.

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