Question

stefanie is painting her bedroom. she can paint $12\frac{1}{3}$ square feet in $\frac{4}{5}$ of an hour. how many square feet can she paint in one hour?\
\\(\bigcirc\\) a. $49\frac{1}{3}$\
\\(\bigcirc\\) b. $23\frac{1}{8}$\
\\(\bigcirc\\) c. $9\frac{1}{4}$\
\\(\bigcirc\\) d. $15\frac{5}{12}$

Explanation:

Step1: Convert mixed number to improper fraction

$12\frac{1}{3} = \frac{12\times3 +1}{3} = \frac{37}{3}$

Step2: Divide by work time to find hourly rate

$\frac{37}{3} \div \frac{4}{5} = \frac{37}{3} \times \frac{5}{4} = \frac{185}{12}$

Step3: Convert back to mixed number

$\frac{185}{12} = 15\frac{5}{12}$

Answer:

D. $15\frac{5}{12}$