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Question

# Claire has 38 yards of material to make costumes for the school play. She needs 2 3/8 yards for each costume. How many costumes can she make?

Solution

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We will divide $38$ by $2\dfrac{3}{8}$.

\begin{aligned} 38\div{\color{#4257b2}2\dfrac{3}{8}}&=\dfrac{38}{1}\div{\color{#4257b2}\dfrac{19}{8}}&&\text{Rewrite into improper fraction}\\ &=\dfrac{38}{1}{\color{#4257b2}\times\dfrac{8}{19}}&&\text{Reciprocate then change}\\ &&&\text{to multiplication}\\ &=\dfrac{^{2}\cancel{38}\times8}{1\times\cancel{19}}&&\text{Divide out common factor}\\ &=\dfrac{2\times8}{1}&&\text{Write the numbers left}\\ &=\dfrac{16}{1}&&\text{Multiply the numerators}\\ &=\boxed{16}&&\text{Simplify} \end{aligned}

So she can make $16$ costumes.

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