9\nmrs. atwood can grade $14\\frac{2}{3}$ pages of essays in $2\\frac{1}{4}$ of an hour. how much can she…
9\nmrs. atwood can grade $14\\frac{2}{3}$ pages of essays in $2\\frac{1}{4}$ of an hour. how much can she grade per hour?
Answer
Explanation:
Step1: Convert mixed numbers to fractions
Convert $14\frac{2}{3}$ to $\frac{44}{3}$, and $2\frac{1}{4}$ to $\frac{9}{4}$.
Step2: Set up rate calculation
Rate = Total pages ÷ Time, so $\text{Rate} = \frac{44}{3} \div \frac{9}{4}$
Step3: Divide fractions (multiply by reciprocal)
$\text{Rate} = \frac{44}{3} \times \frac{4}{9} = \frac{176}{27}$
Step4: Convert to mixed number
$\frac{176}{27} = 6\frac{14}{27}$
Answer:
$6\frac{14}{27}$ pages per hour