Question
Mathematics
HIST $\left(23-24\right)$(23-24)
son 15: MathXL for School: Practice &. Problem Solving
1.5.PS-26
A large bag contains $\frac{11}{12}$(11)/(12) pound of nails. How many $\frac{1}{4}$(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 $\frac{1}{4}$(1)/(4)-pound bag left ove
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We want to find how many $\frac{1}{4}$(1)/(4)-pound bags can be filled with $\frac{11}{12}$(11)/(12) pounds of nails.
$\frac{11}{12}÷\frac{1}{4}=\frac{11}{12}\cdot \frac{4}{1}=\frac{44}{12}$(11)/(12)-:(1)/(4)=(11)/(12)*(4)/(1)=(44)/(12)
So, we can fill $\frac{11}{3}$(11)/(3) of a $\frac{1}{4}$(1)/(4)-pound bag with the nails.
Therefore, a total of $4$4 bags can be filled, with $\frac{2}{3}$(2)/(3) of a $\frac{1}{4}$(1)/(4)-pound bag left over.
The answer is (B) A total of $\overline{)4}$4 bag(s) can be filled, with $\overline{)\frac{2}{3}}$(2)/(3) of a $\frac{1}{4}$(1)/(4)-pound bag left over.