4.5 As A Fraction Simplified

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The versatility of numbers! Have you ever wondered how to convert a decimal number to a fraction? In this article, we'll explore the process of converting the decimal number 4.5 to a fraction in its simplest form.

Understanding Decimal Numbers

Before we dive into the conversion process, let's quickly review what decimal numbers are. Decimal numbers are a way of representing fractions or parts of a whole using a point (.) to separate the whole number part from the fractional part. For example, 4.5 represents four and a half.

Converting Decimal Numbers to Fractions

To convert a decimal number to a fraction, we need to follow a few simple steps. Here's the process:

1. Identify the decimal number you want to convert.
2. Determine the place value of the last digit in the decimal number.
3. Write the decimal number as a fraction with the last digit as the numerator and the place value as the denominator.

Let's apply this process to our example, 4.5.

Step 1: Identify the Decimal Number

Our decimal number is 4.5.

Step 2: Determine the Place Value

The last digit in our decimal number is 5, which has a place value of tenths (1/10).

Step 3: Write the Decimal Number as a Fraction

Now, let's write 4.5 as a fraction with 5 as the numerator and 10 as the denominator.

4.5 = 5/10

Simplifying the Fraction

The fraction 5/10 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 5.

5 ÷ 5 = 1 10 ÷ 5 = 2

So, the simplified fraction is:

4.5 = 1/2

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Frequently Asked Questions

We hope this article has helped you understand the process of converting decimal numbers to fractions and simplifying them. Remember, practice makes perfect, so be sure to try out some examples on your own!