Fraction Calculator - Add, Subtract, Multiply, Divide Fractions Free
Free online fraction calculator. Add, subtract, multiply, and divide fractions. Simplify fractions, convert between improper and mixed numbers. Step-by-step results.
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How to Use the Fraction Calculator
- Enter the first fraction — type the numerator and denominator in the two input boxes
- Enter the second fraction — fill in the numerator and denominator for the second value
- Select an operation — choose add (+), subtract (−), multiply (×), or divide (÷)
- View the result — the answer appears instantly as a simplified fraction and as a decimal
- See the steps — the step-by-step solution shows the common denominator, cross-multiplication, and simplification process
- Toggle between formats — the result is shown as both an improper fraction and a mixed number where applicable
Perfect for students, teachers, and anyone working with fractions in cooking, construction, or education.
Features
- Four operations — add, subtract, multiply, and divide fractions
- Automatic simplification — results are always reduced to lowest terms
- Step-by-step work — shows the math behind each calculation for learning and verification
- Improper & mixed display — see the result in both formats simultaneously
- Decimal equivalent — shows the decimal value of the result for easy comparison
- Supports negatives — handle positive and negative fractions correctly
- Clear validation — alerts you if a denominator is zero or input is invalid
Use Cases
- Homework help — students can check their work and see the steps to understand the method
- Teaching aid — teachers can demonstrate fraction operations step by step in class
- Recipe scaling — halve a recipe that calls for 3/4 cup of flour by dividing by 2
- Woodworking — add 5/16" and 3/8" for a precise measurement without converting to decimals
- Construction — subtract 1/4" from 3/4" to find remaining material thickness
FAQ
How do I enter a mixed number like 2 1/2?
Enter the whole number separately from the fraction. Convert 2 1/2 to an improper fraction: (2 × 2 + 1)/2 = 5/2. Enter 5 as numerator and 2 as denominator. The calculator accepts improper fractions directly.
Why does the calculator simplify fractions?
Simplification shows the result in its most reduced form — the smallest possible numerator and denominator. This is the standard way to present fraction answers in math and makes comparisons easier.
What happens if I enter 0 as the denominator?
Division by zero is undefined in mathematics. The calculator will show an error if you try to enter a zero denominator. Always ensure your denominator is a non-zero number.
Can this calculator handle multiple operations at once?
The calculator processes two fractions with one operation at a time (A + B, A - B, A × B, A ÷ B). For more complex expressions with multiple operations, do one step at a time, using each result as an input for the next operation.
How do I divide fractions?
To divide by a fraction, multiply by its reciprocal (flip it upside down). For example, 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9. The calculator shows this step so you can see exactly how it works.