How many 14

How many 1/2 cup serving are in a package of cheese that contains 5 1/4 cups altogether?

Correct answer:

n =  10

Step-by-step explanation:

$$\begin{gathered} a={\displaystyle \frac{1}{2}}=0.5 \\ b=5{\displaystyle \frac{1}{4}}=5+{\displaystyle \frac{1}{4}}={\displaystyle \frac{5\cdot 4+1}{4}}={\displaystyle \frac{21}{4}}=5.25 \\ {n}_1=b\mathrm{/}a=5.25\mathrm{/}0.5={\displaystyle \frac{21}{2}}=10\frac{1}{2}=10.5 \\ n=\lfloor n_1\rfloor =\lfloor 10.5\rfloor =10 \end{gathered}$$

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