0.24 as a fraction

2 min read 15-01-2025

Meta Description: Learn how to convert the decimal 0.24 into a fraction in a simple, step-by-step guide. We'll cover the process, simplify the fraction, and show you how to solve similar decimal-to-fraction conversions. This guide is perfect for students and anyone needing a quick refresher on fractions and decimals.

Introduction:

Converting decimals to fractions is a fundamental math skill. In this article, we'll show you exactly how to change 0.24 into a fraction. We'll break down the process into easy-to-follow steps, so even if you're not a math whiz, you'll understand it. Understanding how to convert 0.24 to a fraction is helpful for various applications, from baking to more advanced mathematical problems.

Understanding Decimals and Fractions

Before we begin, let's briefly review the relationship between decimals and fractions. Decimals represent parts of a whole using a base-ten system (tenths, hundredths, thousandths, etc.). Fractions also represent parts of a whole, expressed as a ratio of two numbers (numerator and denominator).

Steps to Convert 0.24 to a Fraction

Here's how to convert the decimal 0.24 into its fractional equivalent:

1. Write the decimal as a fraction over 1:

This is the first step in any decimal-to-fraction conversion. We start by writing 0.24 as a fraction:

0.24/1

2. Multiply the numerator and denominator by 100:

Because there are two digits after the decimal point (hundredths place), we multiply both the numerator and the denominator by 100 to remove the decimal. This maintains the value of the fraction.

(0.24 x 100) / (1 x 100) = 24/100

3. Simplify the fraction:

Now, we need to simplify the fraction 24/100 to its lowest terms. To do this, we find the greatest common divisor (GCD) of both the numerator and the denominator. The GCD of 24 and 100 is 4. We divide both the numerator and the denominator by 4:

24 ÷ 4 = 6 100 ÷ 4 = 25

Therefore, the simplified fraction is:

6/25

0.24 as a Fraction: The Final Answer

The decimal 0.24 is equivalent to the fraction 6/25.

How to Convert Other Decimals to Fractions

The method used to convert 0.24 to a fraction can be applied to other decimals as well. Here's a general approach:

Identify the place value of the last digit: Determine if the decimal is in tenths, hundredths, thousandths, etc.
Write the decimal as a fraction over 1: Place the decimal number over 1.
Multiply the numerator and denominator by a power of 10: Multiply both the numerator and denominator by 10, 100, 1000, etc., depending on the place value identified in step 1 to remove the decimal point.
Simplify the fraction: Reduce the fraction to its simplest form by finding the greatest common divisor of the numerator and denominator.

Examples of Decimal to Fraction Conversions

Let's look at a few more examples:

0.75: 75/100 = 3/4
0.5: 5/10 = 1/2
0.125: 125/1000 = 1/8

Conclusion

Converting decimals to fractions is a straightforward process. By following the steps outlined above, you can easily convert any decimal to its fractional equivalent. Remember to always simplify the fraction to its lowest terms for the most accurate and concise representation. Now you know how to confidently tackle problems like converting 0.24 as a fraction!