## What is \(\frac{5}{8}\) of 24?

Answer 1:

\(15\)

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 \(15\).

Answer 2:

\(15\)

Explanation:

five eigths of \(24\)

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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:

The very useful principle

Example of principle: \(3 \times 5=5 \times 3=15\)

In multiplication you can switch things round.

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Answering the question

Five eighths \(\rightarrow 5 \text { lots of } \frac{1}{8} \rightarrow 5 \times \frac{1}{8}=\frac{5}{8}\)

Five eighths of 24 \(\rightarrow \frac{5}{8} \times 24\)

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

\(\frac{5}{8} \times \frac{24}{1}\)Now we swap things round

\(\frac{5}{1} \times \frac{24}{8}\)To maintain the correct proportion (for multiply or divide) what you do to the top of a fraction you also do to the bottom.

\(\frac{5}{1} \times \frac{24 \div 8}{8 \div 8} \leftarrow \text { This is the same process as cancelling }\)\(\frac{5}{1} \times \frac{3}{1}=\frac{5 \times 3}{1}=\frac{15}{1}=15\).

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 \(\frac{5}{8}\) and the word of in any math problem means the multiplication symbol, ×.

Before: What is five eights of 24?

After: \(\frac{5}{8} \times 24=?\)

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 \(5×3!\) And what is the answer to \(5×3\)? It’s \(15!\)

So the answer to “Five eighths of 24?” aka \(\frac{5}{8} \times 24=?\) is \(15!\)

My source is my knowledge! 🙂

I hope that this answer will help you!