A mile is 5, 280 feet long. A certain indoor gym has a running track for which 12 laps around the track is equivalent to 1 mile. Explain how you can use partial quotients to determine how many feet long the track is

X

Hint

1 of 2

Dividing by partial quotients means subtracting multiples of the divisor from the dividend until there is nothing left to subtract.

First, I would use

and subtract

Then I would use

X

in order to decrease the dividend to 0.

Adding the partial quotients

and

gives the whole-number quotient,

The track is 440 feet long.