The running track behind the local gym is 3

Question

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.