Mallory wants to run 24 miles this month. if she can run 3/4 of a mile each day she runs, how many days will it take her to run those 24 miles

Answer 1

To determine how many days it will take Mallory to run 24 miles if she runs \( \frac{3}{4} \) of a mile each day, we can use the following calculation:

1. Daily distance: Mallory runs \( \frac{3}{4} \) mile per day.
2. Total miles to run: Mallory wants to run 24 miles.

Now, we can set up the equation for the number of days \( d \) it will take:

\[ d \times \frac{3}{4} = 24 \]

Next, solve for \( d \):

\[ d = \frac{24}{\frac{3}{4}} \]

To divide by a fraction, we can multiply by the reciprocal:

\[ d = 24 \times \frac{4}{3} \]

Now, perform the multiplication:

\[ d = \frac{24 \times 4}{3} = \frac{96}{3} = 32 \]

Therefore, it will take Mallory 32 days to run 24 miles.