Fraction Calculator
Perform fraction calculations including addition, subtraction, multiplication, and division. Convert between fractions, mixed numbers, and decimals.
Understanding Fractions
Types of Fractions
- Proper Fractions: Numerator is less than denominator (e.g., 3/4)
- Improper Fractions: Numerator is greater than denominator (e.g., 5/3)
- Mixed Numbers: Whole number with a fraction (e.g., 1 2/3)
Basic Operations
Addition
To add fractions with the same denominator:
- Add the numerators
- Keep the same denominator
- Example: 1/4 + 2/4 = 3/4
Subtraction
To subtract fractions with the same denominator:
- Subtract the numerators
- Keep the same denominator
- Example: 3/4 - 1/4 = 2/4 = 1/2
Multiplication
- Multiply the numerators
- Multiply the denominators
- Example: 1/2 × 2/3 = 2/6 = 1/3
Division
- Multiply by the reciprocal
- Example: 1/2 ÷ 2/3 = 1/2 × 3/2 = 3/4
Converting Decimals to Fractions
Common decimal to fraction conversions:
- 0.5 = 1/2
- 0.25 = 1/4
- 0.75 = 3/4
- 0.33... = 1/3
- 0.66... = 2/3
Working with Mixed Numbers
To convert a mixed number to an improper fraction:
- Multiply the whole number by the denominator
- Add the numerator
- Keep the same denominator
- Example: 2 1/3 = (2 × 3 + 1)/3 = 7/3