ron has a 4 1/2 pound bag of beans. he wants to sell the beans in 2/3 pound bags. how many whole bags can he fill?

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01-11-2017
Mathematics

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ron has a 4 1/2 pound bag of beans. he wants to sell the beans in 2/3 pound bags. how many whole bags can he fill?

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jdoe0001 jdoe0001 · Answer 1 · 2017-11-01T22:33:23+01:00

namely, how many times does 2/3 go into 4 and 1/2?

first, let's convert the mixed fraction to "improper" and do the division.

[tex]\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}\\\\ -------------------------------\\\\ \cfrac{\quad \frac{9}{2}\quad }{\frac{2}{3}}\implies \cfrac{9}{2}\cdot \cfrac{3}{2}\implies \cfrac{27}{4}\implies 6\frac{3}{4}[/tex]