Converting decimals to fractions is an essential math skill that can be applied in various real-world situations, such as cooking, science, and finance. In this article, we will explore three ways to convert the decimal 0.24 to a fraction.
Method 1: Simplifying the Decimal
One way to convert 0.24 to a fraction is to simplify the decimal. To do this, we can divide the decimal by 1, which will give us the same value as the original decimal.
0.24 ÷ 1 = 24/100
Next, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 24 and 100 is 4.
24 ÷ 4 = 6 100 ÷ 4 = 25
So, the simplified fraction is:
6/25
Why This Method Works
This method works because dividing a decimal by 1 does not change its value. By simplifying the fraction, we can express the decimal in its most basic form.
Method 2: Using Equivalent Ratios
Another way to convert 0.24 to a fraction is to use equivalent ratios. To do this, we can set up a proportion with the decimal and a fraction with a denominator of 100.
0.24 = x/100
Since the decimal 0.24 is equal to 24 hundredths, we can set up the following proportion:
24/100 = x/100
Next, we can cross-multiply and solve for x.
24 = x
So, the fraction is:
24/100
Simplifying the Fraction
As we did in the first method, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 24 and 100 is 4.
24 ÷ 4 = 6 100 ÷ 4 = 25
So, the simplified fraction is:
6/25
Method 3: Using a Calculator or Online Tool
The third method is to use a calculator or online tool to convert the decimal to a fraction. Many calculators and online tools have a built-in function to convert decimals to fractions.
For example, if we enter the decimal 0.24 into a calculator, it may display the fraction:
6/25
Why This Method Works
This method works because calculators and online tools use algorithms to convert decimals to fractions. These algorithms are based on mathematical formulas and can provide accurate results.
Conclusion
In conclusion, there are three ways to convert the decimal 0.24 to a fraction: simplifying the decimal, using equivalent ratios, and using a calculator or online tool. Each method has its own advantages and disadvantages, but they all can provide the same result: 6/25.
We hope this article has been informative and helpful. If you have any questions or comments, please feel free to share them with us.
What is the simplified fraction of 0.24?
+The simplified fraction of 0.24 is 6/25.
How do I convert a decimal to a fraction using a calculator?
+To convert a decimal to a fraction using a calculator, simply enter the decimal and press the "frac" or "fraction" button. The calculator will display the fraction equivalent of the decimal.
What is the greatest common divisor (GCD) of 24 and 100?
+The greatest common divisor (GCD) of 24 and 100 is 4.