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

Answer:

$7\frac{5}{7}\ laps$

Step-by-step 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

$6\frac{3}{4}\ mi=\frac{6*4+3}{4}=\frac{27}{4}\ mi$

step 2

Find the number of laps

$\frac{(27/4)}{(7/8)}=\frac{54}{7}\ laps$

step 3

Convert the number of laps to mixed number

$\frac{54}{7}=\frac{49}{7}+\frac{5}{7}=7\frac{5}{7}\ laps$