Maggie works at a clothing store. a spool of ribbin contains 13 1/2 inches of ribbon. Maggie uses 2 1/2 inches of ribbon on each gift box she makes. How many gift boxes can Maggie make with one spool of ribbon?

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A spool of ribbon contains 13 1/2 inches of ribbon.

Maggie uses 2 1/4 inches of ribbon on each gift box she makes.

How many gift boxes can Maggie make with one spool of ribbon?​

We need to divide 13 1/2 by 2 1/4 to get the number of boxes she can make.

[tex]13\frac{1}{2}\div2\frac{1}{4}[/tex]

Let us simplify the above expression (first, convert the mixed fractions to simple fractions)

[tex]\begin{gathered} 13\frac{1}{2}\div2\frac{1}{4} \\ \frac{13\cdot2+1}{2}\div\frac{2\cdot4+1}{4} \\ \frac{26+1}{2}\div\frac{8+1}{4} \\ \frac{27}{2}\div\frac{9}{4} \end{gathered}[/tex]

Recall that division is the reciprocal of multiplication

[tex]\begin{gathered} \frac{27}{2}\times\frac{4}{9} \\ \frac{3}{2}\times4 \\ 3\times2 \\ 6 \end{gathered}[/tex]

Therefore, Maggie can make 6 gift boxes with one spool of ribbon.

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