Question

The team ran

miles.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?

Answer 1

The team ran 2 miles.

Explanation:

Step 1; The track is
`(3)/(4)` miles long and the team ran 2
`(2)/(3)` laps on it. To calculate the distance run we multiply the number of laps ran with the distance on each lap.

Distance run = Number of laps × Distance on each lap.

Step 2; We convert 2
`(2)/(3)` from a mixed fraction into an improper fraction. To do this, we multiply the whole number with the denominator of the fraction and add with it the numerator of the same fraction whereas the denominator remains unchanged. To convert the fraction 2
`(2)/(3)` = ((2 × 3) + 2) / 3 =
`(8)/(3)`.

Distance run = Number of laps × Distance on each lap =
`(8)/(3)` ×
`(3)/(4)` =
`(8)/(4)` = 2 miles.