Question

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.

Answer 1

440 feet

Explanation:

The relationship between mile and feet is given as:

1 mile = 5280 feet.

The length of 12 laps around the track is equivalent to 1 mile:

12 laps = 1 mile

Dividing both sides by 12 and simplifying:

12 laps / 12 = 1 mile / 12

1 lap = (1/12) mile

This means that the relationship between the length of the track and feet is given as:

Length of track = (1/12) × 5280 feet

Simplifying the expression:

Length of track = 440 feet