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Mack is repackaging 6/8- pound bags of birdseed into 1-pound bags of birdseed.What is the least number of 6/8 -pound bags of birdseed he needs in order to fill 1-pound bags without any leftovers?

User Corky
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2 Answers

3 votes
Mack needs 4 bags. 4 x 6/8 = 24/8. Twenty-four eighths of a pound is equal to 3 pounds.
User Ben Finkel
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8.9k points
6 votes

Mack is repackaging 6/8- pound bags of birdseed into 1-pound bags of birdseed.

We need to find the least number of 6/8 -pound bags of birdseed

Question says : he needs in order to fill 1-pound bags without any leftovers

so we find a least number such that
(6)/(8) * x is an integer

We use the factors of 6 and 8

We know 6 = 2*3 and 8 = 4* 2


(2*3)/(2*4) =
(3)/(4)

Here 4 is in the denominator , to get integer value we multiply by 4


(3)/(4) * 4 = 3

So answer is 4
(6)/(8) - pound bags

4 is the least number of 6/8 -pound bags of birdseed he needs in order to fill 1-pound bags without any leftovers


User Hyunmin Kim
by
8.0k points
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