Question

What is `5/8` of 24?

Answer 1

`15`

Explanation:

First you find out what `1/8`th is. You do that by dividing `24` by `8` to get `3`. Then you times `3` by `5` as you want `5/8` and then you get `15`.

Answer 2

`15`

Explanation:

five eigths of `24`

`=5/8xx24=5/8xx24/1`

`=(5xxcancel(24)^3)/(cancel(8)^1xx1)`

`=5xx3=15`

Answer 3

Objective in answering this is to demonstrate some basic principles.
Once you get used to these you will start to do some of the calculations in your head.

15

Explanation:

`color(blue)("The very useful principle")`

Example of principle: `3xx5=5xx3=15`

In multiplication you can switch things round.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Answering the question")`

Five eighths `-> 5` lots of `1/8 ->5xx1/8=5/8`

Five eighths of 24 `->5/8xx24`

Writing `24" as "24/1` (people do not normally do this)

`color(green)(5/8)xx color(red)(24/1)`

Now we swap things round

`color(green)(5/(color(red)(1))xx(color(red)(24))/8)`

To maintain the correct proportion (for multiply or divide) what you do to the top of a fraction you also do to the bottom.

`5/1xx(24-:8)/(8-:8)color(brown)(larr" This is the same process as cancelling")`

`5/1xx3/1color(white)("d")=color(white)("d")(5xx3)/1color(white)("d")=color(white)("d")15/1color(white)("d")=color(white)("d")15`

Answer 4

Five eighths of 24 is 15!

Explanation:

Lets makes this question into an equation. You may be thinking,"But it's already an equation? Isn't it?" Well no, it's not an equation yet. An equation is like, `2+2` or something like that. So now let's make it into an equation, then!

5 eighths means `5/8` and the word of in any math problem means the multiplication symbol, `times`.

Before: What is five eights of 24?
After: `5/8times24=?`

Don't you think we made the problem way easier? Anyways lets solve our equation and get our answer!

`8` goes into `24`, 3 times. Therefore, now our our equation is `5times3`! And what is the answer to `5times3`? It's `15`!

So the answer to "Five eighths of 24?" aka `5/8times24=?` is `15`!

My source is my knowledge! :)

I hope that this answer will help you!

                                       Answer Written by: Moksha