Question

The members of a track team ran laps around their school. They ran a total of 6 3/4, each lap was 7/8 miles long. How many laps did they run?

Answer 1

`7(5)/(7)\ laps`

Explanation:

we know that

To find out how many laps they ran, divide the total distance by the distance of one lap

step 1

Convert the total distance from mixed number to an improper fraction

`6(3)/(4)\ mi=(6*4+3)/(4)=(27)/(4)\ mi`

step 2

Find the number of laps

`((27/4))/((7/8))=(54)/(7)\ laps`

step 3

Convert the number of laps to mixed number

`(54)/(7)=(49)/(7)+(5)/(7)=7(5)/(7)\ laps`