Fraction to Decimal Calculator
Convert fractions to decimal numbers with percentage and simplified form
Table of Contents
How to Use
- Enter the numerator (top number) of your fraction
- Enter the denominator (bottom number) of your fraction
- Click calculate to see the decimal equivalent
- View the percentage and simplified fraction if applicable
What is Fraction to Decimal Conversion?
Converting fractions to decimals is a fundamental mathematical operation that allows you to express fractional values in decimal form. This conversion is essential for calculations, comparisons, and real-world applications.
A fraction consists of a numerator (top number) and a denominator (bottom number), where the numerator represents how many parts we have, and the denominator represents the total number of equal parts.
Methods of Conversion
- Division Method: Divide the numerator by the denominator
- Long Division: For complex fractions or when you need exact decimal places
- Calculator Method: Use a calculator for quick and accurate results
Types of Decimal Results
When converting fractions to decimals, you may encounter different types of results:
- Terminating Decimals: Decimals that end after a finite number of digits (e.g., 1/4 = 0.25)
- Repeating Decimals: Decimals that have a repeating pattern (e.g., 1/3 = 0.333...)
- Non-repeating Decimals: Decimals that continue infinitely without a pattern
Frequently Asked Questions
- How do I convert a fraction to a decimal?
- To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 3/4 = 3 ÷ 4 = 0.75.
- What if the decimal repeats?
- Some fractions result in repeating decimals (like 1/3 = 0.333...). Our calculator identifies repeating patterns and shows them clearly.
- Can I convert mixed numbers?
- This calculator handles simple fractions. For mixed numbers, first convert to an improper fraction, then use the calculator.
- What is a simplified fraction?
- A simplified fraction is the same fraction expressed with the smallest possible numerator and denominator. For example, 4/8 simplifies to 1/2.