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  1. Home
  2. Math Calculators
  3. Fraction Calculator

Fraction Calculator

Simplify, add, subtract, multiply, and divide fractions instantly. Convert between fractions and decimals, and calculate percentage equivalents. Perfect for students, teachers, and everyday math.

What is Fraction Calculator?

A fraction calculator performs mathematical operations with fractions, including addition, subtraction, multiplication, and division. Fractions represent parts of a whole and are fundamental to mathematics, cooking, construction, and many everyday calculations. Whether you're a student learning fraction arithmetic or a professional working with measurements, this calculator simplifies the process.

Working with fractions can be tricky, especially when denominators differ. Finding a common denominator, simplifying results, and converting between mixed numbers and improper fractions are skills that this calculator handles automatically. It also shows the step-by-step process, making it a valuable learning tool for students.

Formula

Addition: a/b + c/d = (ad + bc) / bd
Subtraction: a/b - c/d = (ad - bc) / bd
Multiplication: a/b × c/d = (a × c) / (b × d)
Division: a/b ÷ c/d = (a × c) / (b × d) [flip and multiply]
 
Simplify by dividing numerator and denominator by their GCD

How to Calculate

  1. Select the operation (add, subtract, multiply, or divide).
  2. Enter the first fraction (numerator and denominator).
  3. Enter the second fraction.
  4. View the result in simplified form.
  5. Check the step-by-step solution for learning purposes.

Example

Adding 2/3 + 1/4: Find common denominator (12). 2/3 = 8/12, 1/4 = 3/12. 8/12 + 3/12 = 11/12. Multiplying 3/5 × 2/7: (3×2)/(5×7) = 6/35. Dividing 4/5 ÷ 2/3: 4/5 × 3/2 = 12/10 = 6/5 = 1 1/5.

Key Benefits

  • Add subtract multiply divide fractions step by step
  • Convert between improper mixed and decimal
  • Simplified lowest terms automatically
  • Error-free for homework cooking woodworking

Common Mistakes to Avoid

  • Adding without common denominator
  • Not simplifying to lowest terms
  • Misaligning mixed numbers in operations

Pro Tips

  • Convert mixed to improper before multiplying
  • Find LCM for easier adding
  • Double-check with decimal conversion

Key Terms Explained

Numerator
Top parts selected
Denominator
Bottom total parts
Improper Fraction
Numerator larger than denominator
Least Common Multiple
Smallest shared multiple

Common Use Cases

  • Solving math homework problems with fractions
  • Adjusting recipe measurements (doubling, halving)
  • Calculating material cuts in construction and woodworking
  • Converting between fractions and decimals

Frequently Asked Questions

How do I add fractions with different denominators?
Find the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, then add the numerators while keeping the denominator the same.
What's the difference between a proper and improper fraction?
A proper fraction has a numerator smaller than the denominator (e.g., 3/4). An improper fraction has a numerator equal to or larger than the denominator (e.g., 7/4). Improper fractions can be converted to mixed numbers.
How do I simplify a fraction?
Divide both the numerator and denominator by their greatest common divisor (GCD). For example, 8/12 simplifies to 2/3 by dividing both by 4.

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