Question

The running track behind the local gym is 3
4
mile long. The track and field team ran 2 2
3
laps around the track. How many miles did the team run?


The team ran ----
miles.

Answer 1

To find out how many miles the team ran, we first need to determine how many total laps they completed, and then multiply that by the length of the track.

1. **Length of the track**: \( \frac{3}{4} \) mile per lap
2. **Number of laps**: \( 2 \frac{2}{3} \) laps

First, we convert \( 2 \frac{2}{3} \) laps into an improper fraction:

\[
2 \frac{2}{3} = 2 \times 3 + 2 = 6 + 2 = \frac{8}{3}
\]

Next, we multiply the number of laps by the length of the track:

\[
\text{Total distance} = \text{Number of laps} \times \text{Length of track}
\]
\[
\text{Total distance} = \frac{8}{3} \times \frac{3}{4}
\]

Now, we can multiply the fractions:

\[
\text{Total distance} = \frac{8 \times 3}{3 \times 4} = \frac{24}{12} = 2
\]

So, the team ran **2 miles**.

The team ran **2** miles.