Question

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?

Answer 1

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.


`\bf \stackrel{mixed}{4(1)/(2)}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}\\\\ -------------------------------\\\\ \cfrac{\quad (9)/(2)\quad }{(2)/(3)}\implies \cfrac{9}{2}\cdot \cfrac{3}{2}\implies \cfrac{27}{4}\implies 6(3)/(4)`