Fractions Calculator
🔢 Choose Fraction Operation
First Fraction
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Second Fraction
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Fractions Calculator Online
Fractions are fundamental in mathematics, taught from elementary grades through advanced studies. Our calculator helps you easily perform all basic fraction operations: addition, subtraction, multiplication, and division with step-by-step solutions. 🔢
What can you do with this fractions calculator?
- ➕ Add fractions — with same or different denominators
- ➖ Subtract fractions — find the difference between fractions
- ✖️ Multiply fractions — multiply numerators and denominators
- ➗ Divide fractions — divide by multiplying by reciprocal
- 🔄 Simplify fractions — automatic reduction using GCD
- 🔢 Work with mixed numbers — convert to and from improper fractions
Basic fraction operation rules:
- Addition & Subtraction: Find common denominator first
- Multiplication: Multiply numerators together, denominators together
- Division: Multiply by the reciprocal of the second fraction
- Simplification: Divide both numerator and denominator by their GCD
Common use cases:
- Cooking: Recipe ingredient calculations and scaling
- Construction: Measurements in inches and feet
- School homework: Math assignments and problem solving
- Daily life: Time calculations, distances, and portions
The calculator automatically simplifies results and shows step-by-step solutions. Perfect for students from elementary through high school and anyone working with fractions! 📚
Frequently Asked Questions
How do you add fractions with different denominators?
To add fractions with different denominators, first find a common denominator (usually the LCM of both denominators), convert both fractions to equivalent fractions with this common denominator, then add the numerators.
How do you multiply fractions?
To multiply fractions, multiply the numerators together and multiply the denominators together. Formula: (a/b) × (c/d) = (a×c)/(b×d). Then simplify if possible.
How do you divide fractions?
To divide fractions, multiply the first fraction by the reciprocal (flip) of the second fraction. Formula: (a/b) ÷ (c/d) = (a/b) × (d/c) = (a×d)/(b×c).
What is a mixed number?
A mixed number is a whole number combined with a proper fraction, like 2¾. It represents the same value as an improper fraction (like 11/4) but in a more readable form for everyday use.
How do you simplify fractions?
To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). For example, 8/12 simplified is 2/3 because both 8 and 12 can be divided by 4.
What's the difference between proper and improper fractions?
A proper fraction has a numerator smaller than the denominator (like 3/5). An improper fraction has a numerator greater than or equal to the denominator (like 7/4 or 5/5).
Can I use this calculator for mixed numbers?
Yes! The calculator handles mixed numbers by converting them to improper fractions for calculations, then converts the result back to a mixed number when appropriate.