# What is 5/8 of 24?

Sep 5, 2017

$15$

#### Explanation:

First you find out what $\frac{1}{8}$th is. You do that by dividing $24$ by $8$ to get $3$. Then you times $3$ by $5$ as you want $\frac{5}{8}$ and then you get $15$.

Sep 8, 2017

$15$

#### Explanation:

five eigths of $24$

$= \frac{5}{8} \times 24 = \frac{5}{8} \times \frac{24}{1}$

$= \frac{5 \times {\cancel{24}}^{3}}{{\cancel{8}}^{1} \times 1}$

$= 5 \times 3 = 15$

Sep 8, 2017

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:

$\textcolor{b l u e}{\text{The very useful principle}}$

Example of principle: $3 \times 5 = 5 \times 3 = 15$

In multiplication you can switch things round.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Answering the question}}$

Five eighths $\to 5$ lots of $\frac{1}{8} \to 5 \times \frac{1}{8} = \frac{5}{8}$

Five eighths of 24 $\to \frac{5}{8} \times 24$

Writing $24 \text{ as } \frac{24}{1}$ (people do not normally do this)

$\textcolor{g r e e n}{\frac{5}{8}} \times \textcolor{red}{\frac{24}{1}}$

Now we swap things round

$\textcolor{g r e e n}{\frac{5}{\textcolor{red}{1}} \times \frac{\textcolor{red}{24}}{8}}$

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

$\frac{5}{1} \times \frac{24 \div 8}{8 \div 8} \textcolor{b r o w n}{\leftarrow \text{ This is the same process as cancelling}}$

$\frac{5}{1} \times \frac{3}{1} \textcolor{w h i t e}{\text{d")=color(white)("d")(5xx3)/1color(white)("d")=color(white)("d")15/1color(white)("d")=color(white)("d}} 15$

Sep 9, 2017

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 $\frac{5}{8}$ 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 $5 \times 3$! And what is the answer to $5 \times 3$? It's $15$!

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

My source is my knowledge! :)

$$                                       Answer Written by: Moksha