The decimal number 0.258 can be converted to a fraction in simplest form by finding the closest fraction that represents this decimal value.
Converting 0.258 to a Fraction
To convert 0.258 to a fraction, we can start by writing it as 258/1000. Then, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
Simplifying the Fraction
The GCD of 258 and 1000 is 2. Therefore, we can divide both the numerator and denominator by 2 to simplify the fraction:
258 ÷ 2 = 129 1000 ÷ 2 = 500
So, the simplified fraction is 129/500.
Verifying the Result
To verify that 129/500 is the simplest form of 0.258, we can convert it back to a decimal and check if it equals the original value.
Converting 129/500 to a Decimal
To convert 129/500 to a decimal, we can divide the numerator by the denominator:
129 ÷ 500 = 0.258
This confirms that 129/500 is indeed the simplest form of 0.258.
Benefits of Simplifying Fractions
Simplifying fractions has several benefits, including:
- Easier calculations: Simplified fractions are easier to work with, especially when performing arithmetic operations.
- Improved accuracy: Simplifying fractions reduces the risk of errors and ensures more accurate results.
- Better understanding: Simplified fractions provide a clearer understanding of the underlying mathematical concepts.
Real-World Applications
Simplifying fractions has numerous real-world applications, including:
- Cooking and recipe scaling
- Measuring ingredients and quantities
- Scientific calculations and data analysis
- Financial calculations and accounting
Conclusion
In conclusion, 0.258 can be converted to a fraction in simplest form as 129/500. Simplifying fractions is an essential mathematical skill that offers numerous benefits, including easier calculations, improved accuracy, and better understanding. By mastering fraction simplification, individuals can improve their problem-solving skills and apply mathematical concepts to real-world situations.
We hope this article has helped you understand how to convert 0.258 to a fraction in simplest form. If you have any further questions or need additional assistance, please don't hesitate to ask. Share your thoughts and feedback in the comments section below!
FAQ Section
What is the simplest form of 0.258?
+The simplest form of 0.258 is 129/500.
Why is simplifying fractions important?
+Simplifying fractions is important because it makes calculations easier, improves accuracy, and provides a better understanding of mathematical concepts.
What are some real-world applications of simplifying fractions?
+Simplifying fractions has numerous real-world applications, including cooking, measuring ingredients, scientific calculations, and financial calculations.