Question

There are 5280 feet in a mile what fraction of a mile is represented by 440

Answer 1

440 feet is
`(1)/(12)` of a mile.

Explanation:

We have been given that 1 miles equal 5280 feet. We are asked to find 440 ft is what fraction of a mile.

We will proportions to solve our given problem as:

`\frac{\text{1 mile}}{\text{5280 ft}}=\frac{x}{440\text{ ft}}`

`\frac{\text{1 mile}}{\text{5280 ft}}*440\text{ ft}=\frac{x}{440\text{ ft}}*440\text{ ft}`

`\frac{\text{44 mile}}{528}=x`

`\frac{\text{44 mile}}{44*12}=x`

`\frac{\text{1 mile}}{12}=x`

Therefore, 440 feet is
`(1)/(12)` of a mile.

Answer 2

We have been given that there are 5280 feet in a mile.

Let us calculate the number of miles in a feet.

In 1 feet we have
`(1)/(5280)` miles.

Therefore, in 440 feet, we have

`(1)/(5280) * 440`

Now 5280 can be written as
`440 * 12`

Hence, we have

`(1)/(440 * 12) * 440\\ \\ (1)/(12)`

Therefore, 1/12 of mile is represented by 440 feet.