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30 votes
Mark has 6 3/4 pounds of candy he needs to pack 1/3 into pound bags. How many bags can he fill?​

User Ashwini Jindal
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1 Answer

13 votes
13 votes

Explanation:

remember, a/a = 1, and it represents always a "whole" in fraction calculations.

in our case here : 4/4.

if I understand correctly, he packs 1/3 of 6 3/4 pounds into pound bags (which I assume are bags that hold 1 pound each).

6 3/4 = (6×4)/4 + 3/4 = 24/4 + 3/4 = 27/4 pounds.

1/3 of x means multiplying x by 1/3.

this is the same as dividing x by 3.

so, in our case 1/3 of the candy to be packed is

27/4 × 1/3 = 27/(4×3) = 9/4 = 8/4 + 1/4 = (2×4)/4 + 1/4.

that means he can fill 2 whole pound bags and has 1/4 pound left.

User Josh Rickard
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