Convert 1.8 To A Fraction Simplified

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To convert 1.8 to a fraction, we can follow these steps:

1. Multiply the decimal number by a power of 10 to eliminate the decimal point. In this case, we can multiply 1.8 by 10 to get 18.
2. Write the result as a fraction with the original decimal number as the numerator and the power of 10 as the denominator: 18/10
3. Simplify the fraction by dividing both the numerator and the denominator by 2: 9/5

So, 1.8 as a fraction simplified is 9/5.

Here's the conversion with HTML formatting:

Understanding Decimal to Fraction Conversion

Converting decimal numbers to fractions is a fundamental concept in mathematics. It involves representing a decimal number as a ratio of two integers, i.e., a numerator and a denominator.

Why Convert Decimals to Fractions?

There are several reasons why converting decimals to fractions is important:

• Fractions provide a more precise representation of certain values, especially when dealing with exact calculations.
• Fractions are essential in various mathematical operations, such as adding, subtracting, multiplying, and dividing.
• Fractions are used extensively in real-world applications, including science, engineering, and finance.

How to Convert Decimals to Fractions

The process of converting decimals to fractions involves several steps:

1. Identify the Decimal Number

   Identify the decimal number you want to convert to a fraction. In this case, we used 1.8 as an example.

2. Multiply by a Power of 10

   Multiply the decimal number by a power of 10 to eliminate the decimal point. The power of 10 should be equal to the number of decimal places in the original number. For 1.8, we multiplied by 10 to get 18.

3. Write as a Fraction

   Write the result as a fraction with the original decimal number as the numerator and the power of 10 as the denominator. For 1.8, we got 18/10.

4. Simplify the Fraction

   Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). For 18/10, we divided both numbers by 2 to get 9/5.

Example Conversion

Let's use another example to illustrate the conversion process. Suppose we want to convert 2.5 to a fraction.

1. Multiply 2.5 by 10 to get 25.
2. Write 25 as a fraction with 10 as the denominator: 25/10
3. Simplify the fraction by dividing both numbers by 5: 5/2

So, 2.5 as a fraction simplified is 5/2.

We hope this article has provided you with a clear understanding of how to convert decimals to fractions. If you have any further questions or need additional clarification, please don't hesitate to ask.