Convert 5.4 To A Fraction In 5 Easy Steps

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In today's fast-paced world, we often deal with decimals and fractions in various aspects of life, including mathematics, science, engineering, and finance. Converting decimals to fractions is an essential skill that can help you better understand and work with numerical values. In this article, we will walk you through a simple 5-step process to convert the decimal 5.4 to a fraction.

Why Convert Decimals to Fractions?

Before we dive into the conversion process, let's quickly explore the importance of converting decimals to fractions. Fractions can provide a clearer representation of numerical values, especially when dealing with proportions, ratios, and exact quantities. Additionally, fractions can be more intuitive and easier to work with in certain mathematical operations.

Step 1: Identify the Decimal Value

The decimal value we want to convert is 5.4. This value can be written as 5 and four-tenths.

Step 2: Express the Decimal as a Fraction

To express the decimal 5.4 as a fraction, we need to write it in the form of a numerator over a denominator. Since 5.4 is equal to 5 and four-tenths, we can write it as 54/10.

Step 3: Simplify the Fraction

Now that we have expressed the decimal 5.4 as a fraction (54/10), we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 54 and 10 is 2. Dividing both numbers by 2 gives us 27/5.

Step 4: Write the Fraction in Mixed Form (Optional)

If we want to write the fraction 27/5 in mixed form, we can divide the numerator (27) by the denominator (5) and write the remainder as the new numerator. 27 divided by 5 is equal to 5 with a remainder of 2. Therefore, the mixed form of the fraction is 5 2/5.

Step 5: Verify the Conversion

To verify that our conversion is correct, we can convert the fraction back to a decimal. To do this, we can divide the numerator (27) by the denominator (5), which gives us 5.4. This confirms that our conversion from decimal to fraction is accurate.

In conclusion, converting the decimal 5.4 to a fraction is a straightforward process that can be completed in 5 easy steps. By following these steps, you can convert any decimal value to a fraction and gain a deeper understanding of numerical values.

Gallery of Printable Decimal to Fraction Conversion

FAQ Section

We hope this article has helped you understand the importance of converting decimals to fractions and provided you with a simple 5-step process to do so. If you have any further questions or would like to share your experiences, please leave a comment below.