Understanding The Concept Of "What Is 3/4 Of 24?"

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Introduction

As a professional teacher, one of the most common questions I receive from my students is "What is 3/4 of 24?" It may seem like a simple question, but it can be confusing for some individuals who are not familiar with fractions. In this article, we will discuss what this question means and how to solve it.

Understanding Fractions

Before we can solve the problem, we need to understand what fractions are. A fraction is a way of representing a part of a whole. It consists of two numbers separated by a line. The number above the line is called the numerator, and the number below the line is called the denominator. For example, in the fraction 3/4, 3 is the numerator, and 4 is the denominator. This fraction represents three parts out of four equal parts of a whole.

What Does "3/4 of 24" Mean?

Now that we understand what fractions are let's look at what "3/4 of 24" means. When we say "of," it means multiplication. So, "3/4 of 24" is the same as 3/4 multiplied by 24. To find the answer, we need to multiply 3/4 by 24, which can be done in several ways. One way is to convert the fraction to a decimal and then multiply.

Converting Fractions to Decimals

To convert 3/4 to a decimal, we divide the numerator (3) by the denominator (4). We can do this by long division or by using a calculator. When we divide 3 by 4, we get 0.75. So, 3/4 is the same as 0.75 as a decimal.

Multiplying Decimals

Now that we have converted 3/4 to a decimal, we can multiply it by 24. To do this, we simply multiply 0.75 by 24 using long multiplication or a calculator. When we multiply 0.75 by 24, we get 18. So, 3/4 of 24 is 18.

Checking the Answer

To check our answer, we can use estimation. If we know that 1/2 of 24 is 12, then 3/4 of 24 should be more than 12 but less than 24. Since 3/4 is closer to 1 than it is to 0, we know that the answer should be closer to 24 than it is to 12. And since 3/4 is closer to 1 than it is to 2, we know that the answer should be less than 24 but more than 18. Therefore, our answer of 18 is correct.

Conclusion

In conclusion, "What is 3/4 of 24?" means 3/4 multiplied by 24. To solve the problem, we can convert the fraction to a decimal and then multiply it by 24. The answer is 18. It's essential to understand fractions and decimals to solve this problem accurately.