Question

How many miles does 60,320 yards equal?

Answer 1

`34` miles and `480` yards or `34 3/11` miles.

Explanation:

There are `1760` yards in a mile, so we need to divide `60320` by `1760`...

`color(white)(00000")")underline(color(white)(0000)34color(white)(0))`
`1760color(white)(0)")"color(white)(0)60320`
`color(white)(00000")"0)underline(5280)`
`color(white)(00000")"00)7520`
`color(white)(00000")"00)underline(7040)`
`color(white)(00000")"000)480`

We could stop here and say that `60320` yards is `34` miles and `480` yards, or we can simplify `480/1760` to get a fraction for the remaining part of a mile.

Let us find the GCF (greatest common factor) of `480` and `1760`...

`1760/480 = 3` with remainder `320`

`480/320 = 1` with remainder `160`

`320/160 = 2` with remainder `0`

So the GCF of `1760` and `480` is `160`

`480/1760 = (color(red)(cancel(color(black)(160)))*3)/(color(red)(cancel(color(black)(160)))*11) = 3/11`

So `60320` yards is `34 3/11` miles.