Fraction Calculator

Add, subtract, multiply, and divide fractions with automatic simplification.

=
5
6
Fraction
5/6
Mixed Number
5/6
Decimal
0.833333

Step-by-Step

1/2 + 1/3

= 3/6 + 2/6 (common denominator: 6)

= 5/6

What is the Free Fraction Calculator?

The free Fraction Calculator adds, subtracts, multiplies, and divides two fractions — and shows the step-by-step working so you can follow exactly how the answer was reached. Enter the numerators and denominators of both fractions, select the operation, and the tool displays the result as a simplified proper fraction or mixed number. It handles improper fractions, negative values, and automatically finds the LCM for addition and subtraction.

  • Solve fraction arithmetic homework and check your working
  • Add or subtract recipe ingredient quantities expressed as fractions
  • Calculate material quantities in construction (e.g. 3/4 inch + 5/8 inch)
  • Convert improper fractions to mixed numbers for cleaner presentation
  • Verify fraction calculations before entering them into a spreadsheet

How to Use the Free Fraction Calculator

  1. 1 Enter the numerator (top number) and denominator (bottom number) of the first fraction.
  2. 2 Select your operation: + (add), (subtract), × (multiply), or ÷ (divide).
  3. 3 Enter the numerator and denominator of the second fraction.
  4. 4 The result appears instantly, simplified to lowest terms, alongside full step-by-step working.

Key Features

  • 📝
    Step-by-step working
    See exactly how the answer is reached — LCM, cross-multiplication, simplification steps all shown.
  • ✂️
    Auto-simplification
    Results are automatically reduced to lowest terms using the GCD.
  • 🔢
    Mixed number output
    Improper fractions are shown as mixed numbers (e.g. 7/4 → 1¾) for easier reading.
  • Handles negatives
    Works correctly with negative numerators and denominators.

Example Usage

Example Input
3/4 + 5/6
Example Output
Step 1: Find LCM of 4 and 6 → LCM = 12
Step 2: Convert → 9/12 + 10/12
Step 3: Add numerators → 19/12
Step 4: Simplify → 19/12 (already in lowest terms)

Result: 1 7/12

Frequently Asked Questions about the Free Fraction Calculator

What is the free Fraction Calculator?
Add, subtract, multiply, and divide fractions with automatic simplification.
Is the Fraction Calculator free to use?
Yes, the Fraction Calculator is completely free. No account, subscription, or signup is required — ever.
Does my data get uploaded anywhere?
No. The Fraction Calculator runs entirely in your browser. Your data is never sent to any server.
Does it work offline?
Yes. Once the page has loaded, the tool works without an internet connection.
Which browsers are supported?
All modern browsers — Chrome, Firefox, Safari, and Edge. No plugins or extensions required.
How do you add fractions with different denominators?
Find the Least Common Multiple (LCM) of both denominators. Convert each fraction so it has that LCM as the denominator (multiply numerator and denominator by the same factor). Then add the numerators. Finally, simplify the result by dividing numerator and denominator by their Greatest Common Divisor (GCD).
How do you divide fractions?
To divide by a fraction, multiply by its reciprocal. Flip the second fraction (swap numerator and denominator), then multiply the two fractions together. For example: 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8 = 1 7/8.
What is a mixed number?
A mixed number combines a whole number and a proper fraction, such as 2¾. It is equivalent to the improper fraction 11/4. Mixed numbers are often easier to read in everyday contexts (e.g. "1¾ cups of flour") while improper fractions are easier to work with mathematically.

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