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A bakery uses [tex]10 \frac{4}{5}[/tex] ounces of icing for every [tex]\frac{1}{4}[/tex] of a cake.

What is the unit rate in ounces of icing per cake?

Answer :

first off, we'll convert the mixed fraction to "improper" and proceed,

[tex]\bf \stackrel{mixed}{10\frac{4}{5}}\implies \cfrac{10\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{54}{5}}\\\\
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\cfrac{icing}{cake}\qquad \cfrac{\quad \frac{54}{5}\quad }{\frac{1}{4}}\implies \cfrac{54}{5}\cdot \cfrac{4}{1}\implies \cfrac{216}{5}\implies \cfrac{43\frac{1}{5}}{1}[/tex]

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