Question

Question #be385

Answer 1

`63`

Explanation:

Let's think of `504` as `500+4`.

Now, remember that `(a+b)/c=a/c+b/c`

Therefore, `504/8=(500+4)/8=>500/8+4/8`
Let's keep going on like this.

`500/8+4/8=>400/8+100/8+4/8`

Try to focus on the fractions that do not divide evenly out as an integer.
`=>20/8+400/8+80/8+4/8`

`=>16/8+4/8+400/8+80/8+4/8` We simplify the fractions.

`=>2+1/2+50+10+1/2` We add them up.

`=>63`

This solution, of course, is not the "standard" way, but I thought of it as an interesting way to show how wonderful algebra is.