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Mathematics
HIST ( 23 24 ) (23-24)
son 15: MathXL for School: Practice &. Problem Solving
1.5.PS-26
A large bag contains 11 12 (11)/(12) pound of nails. How many 1 4 (1)/(4)-pound bags can
Select the correct choice below and fill in any answer box(es) to comple (Type integers or fractions.)
  • A. A total of bag(s) can be filled, with no nails left over.
    B. A total of bag(s) can be filled, with of a 1 4 (1)/(4)-pound bag left ove
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We want to find how many 1 4 (1)/(4)-pound bags can be filled with 11 12 (11)/(12) pounds of nails.
To do this, we can divide the total weight of nails by the weight of each bag:
11 12 ÷ 1 4 = 11 12 4 1 = 44 12 (11)/(12)-:(1)/(4)=(11)/(12)*(4)/(1)=(44)/(12)
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 4:
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So, we can fill 11 3 (11)/(3) of a 1 4 (1)/(4)-pound bag with the nails.
However, since we cannot have a fraction of a bag, we must round up to the nearest whole bag.
Therefore, a total of 4 4 bags can be filled, with 2 3 (2)/(3) of a 1 4 (1)/(4)-pound bag left over.
The answer is (B) A total of 4 4 bag(s) can be filled, with 2 3 (2)/(3) of a 1 4 (1)/(4)-pound bag left over.
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