Fraction to Decimal Calculator
Convert fractions to decimals instantly with step-by-step explanations. Supports proper fractions, improper fractions, and mixed numbers with detailed conversion process.
Fraction to Decimal Calculator
How to Use This Calculator
Enter the whole number (optional), numerator, and denominator of your fraction. The calculator will convert it to a decimal, show the percentage equivalent, simplify the fraction if needed, and provide step-by-step conversion process.
Understanding Fraction to Decimal Conversion
To convert a fraction to a decimal, divide the numerator by the denominator. For mixed numbers (like 2 1/3), first convert to an improper fraction, then divide. The result can be a terminating decimal (like 0.75) or repeating decimal (like 0.333…).
Types of Decimals
Terminating decimals end after a finite number of digits (3/4 = 0.75). Repeating decimals have infinite digits with a repeating pattern (1/3 = 0.333…). Whole numbers result when the numerator is divisible by the denominator (6/3 = 2).
Common Applications
Used in recipe conversions, measurements, financial calculations, grade calculations, statistical analysis, engineering calculations, and whenever you need to work with decimal equivalents of fractional values.
Step-by-Step Process
Step 1: Convert mixed number to improper fraction (if applicable). Step 2: Simplify the fraction if possible. Step 3: Divide numerator by denominator. Step 4: Determine if decimal is terminating or repeating. Step 5: Convert to percentage by multiplying by 100.
Frequently Asked Questions
Q: How many decimal places should I use? A: Calculator shows up to 8, use as needed. Q: Can I convert improper fractions? A: Yes, all fraction types supported. Q: What about negative fractions? A: Supported, use negative numerator. Q: Why simplify first? A: Makes division easier and more accurate.