Question

kelly is attending physical therapy after knee surgery. she walked $9\frac{1}{4}$ miles over 3 days. how many miles is this per day? (simplify the answer and write it as a mixed number.)\
\bigcirc $\frac{3}{27\\ 4}$ miles per day\
\bigcirc $3\frac{1}{12}$ miles per day\
\bigcirc $3\frac{1}{4}$ miles per day\
\bigcirc $\frac{12}{37}$ miles per day\
\
the number of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.

Explanation:

Step1: Convert mixed number to improper fraction

The total miles Kelly walked is \( 9\frac{1}{4} \) miles. To convert this mixed number to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). So, \( 9\frac{1}{4}=\frac{9\times4 + 1}{4}=\frac{36 + 1}{4}=\frac{37}{4} \) miles.

Step2: Divide total miles by number of days

We need to find the miles per day, so we divide the total miles (\( \frac{37}{4} \)) by the number of days (3). Dividing by a number is the same as multiplying by its reciprocal, so \( \frac{37}{4}\div3=\frac{37}{4}\times\frac{1}{3}=\frac{37}{12} \).

Step3: Convert improper fraction to mixed number

To convert \( \frac{37}{12} \) to a mixed number, we divide 37 by 12. 12 times 3 is 36, so the quotient is 3 and the remainder is \( 37- 36 = 1 \). So, \( \frac{37}{12}=3\frac{1}{12} \) miles per day.

Answer:

\( 3\frac{1}{12} \) miles per day (which corresponds to the option " \( 3\frac{1}{12} \) miles per day")