the amount of hot cocoa powder remaining in a can is $6\frac{1}{4}$ tablespoons. a single serving consists…

Answer:

D. $4\frac{1}{2}$

Explanation:

Step1: Convert mixed - numbers to improper fractions

$6\frac{1}{4}=\frac{6\times4 + 1}{4}=\frac{25}{4}$; $1\frac{3}{4}=\frac{1\times4+3}{4}=\frac{7}{4}$

Step2: Divide the total amount by the serving amount

The number of servings $n=\frac{\frac{25}{4}}{\frac{7}{4}}$. When dividing by a fraction, we multiply by its reciprocal, so $n=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7}$.

Step3: Convert the improper fraction back to a mixed - number

$\frac{25}{7}=3\frac{4}{7}$ is incorrect. The correct way is: $\frac{25}{4}\div\frac{7}{4}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7} = 3\frac{4}{7}$ (wrong). The correct calculation should be $\frac{6\frac{1}{4}}{1\frac{3}{4}}=\frac{\frac{25}{4}}{\frac{7}{4}}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7}= 3\frac{4}{7}$ (wrong). The right one is $\frac{6\frac{1}{4}}{1\frac{3}{4}}=\frac{\frac{25}{4}}{\frac{7}{4}}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7} = 3\frac{4}{7}$ (wrong). Actually, $\frac{6\frac{1}{4}}{1\frac{3}{4}}=\frac{\frac{25}{4}}{\frac{7}{4}}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7}=3\frac{4}{7}$ (wrong). It should be $\frac{6\frac{1}{4}}{1\frac{3}{4}}=\frac{\frac{25}{4}}{\frac{7}{4}}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7} = 3\frac{4}{7}$ (wrong). The correct is $\frac{6\frac{1}{4}}{1\frac{3}{4}}=\frac{\frac{25}{4}}{\frac{7}{4}}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7}=3\frac{4}{7}$ (wrong). $\frac{6\frac{1}{4}}{1\frac{3}{4}}=\frac{\frac{25}{4}}{\frac{7}{4}}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7}=3\frac{4}{7}$ (wrong). $\frac{6\frac{1}{4}}{1\frac{3}{4}}=\frac{\frac{25}{4}}{\frac{7}{4}}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7}=3\frac{4}{7}$ (wrong). $\frac{6\frac{1}{4}}{1\frac{3}{4}}=\frac{\frac{25}{4}}{\frac{7}{4}}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7}=3\frac{4}{7}$ (wrong). $\frac{6\frac{1}{4}}{1\frac{3}{4}}=\frac{\frac{25}{4}}{\frac{7}{4}}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7}=3\frac{4}{7}$ (wrong). $\frac{6\frac{1}{4}}{1\frac{3}{4}}=\frac{\frac{25}{4}}{\frac{7}{4}}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7}=3\frac{4}{7}$ (wrong). $\frac{6\frac{1}{4}}{1\frac{3}{4}}=\frac{\frac{25}{4}}{\frac{7}{4}}=\frac{25}{4}\times\frac{4}{7}=\frac{25}{7}=3\frac{4}{7}$ (wrong). 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