Fraction Calculator
Add, subtract, multiply, or divide fractions and get a simplified result instantly. See the answer as a fraction, mixed number, decimal, and percentage when applicable.
3/4 is equivalent to 0.75, 75%.
6/8 simplifies to 3/4.
This fraction calculator (or fractions calculator) adds, subtracts, multiplies, and divides fractions and simplifies every result automatically using a built-in fraction simplifier. It also converts the result to a mixed number, decimal, and percentage where those formats apply.
Enter two fractions and choose an operation, and the calculator returns the exact simplified result along with its other equivalent forms.
Understanding Fractions
Numerator: 3 - tells you how many parts are being considered.
Denominator: 4 - tells you how many equal parts make up the whole.
3 of 4 equal parts = 3/4
One Value, Different Forms
These are different ways of representing the same numerical value.
Types of Fractions
Numerator is smaller than denominator.
3/5
Its value is less than 1.
Numerator is equal to or greater than denominator.
7/4
Its value is at least 1.
A whole number combined with a fraction.
1 3/4
Different-looking fractions can represent the same value.
1/2 = 2/4 = 4/8
Adding, Subtracting, Multiplying & Dividing Fractions
1/4 + 2/4 = 3/4
When denominators are the same, the pieces already represent equal-sized parts. When denominators differ, the calculator handles the conversion automatically.
3/4 − 1/4 = 1/2
The same common-denominator rule applies as with addition, just subtracting the numerators instead.
2/3 × 3/4 = 1/2
Multiply the numerators together and the denominators together, then simplify.
3/4 ÷ 1/2 = 1 1/2
Dividing by a fraction is the same as multiplying by its reciprocal.
Fraction Examples
| Calculation | Simplified Result | Decimal |
|---|---|---|
| 1/2 + 1/4 | 3/4 | 0.75 |
| 3/4 − 1/3 | 5/12 | 0.4167 |
| 2/5 × 3/4 | 3/10 | 0.30 |
| 5/6 ÷ 2/3 | 5/4 or 1 1/4 | 1.25 |
| 6/8 simplified | 3/4 | 0.75 |
Your Fraction Result May Be Shown As
These formats can all represent the same value in different ways.
Common Fraction Mistakes
Incorrect: 1/2 + 1/3 = 2/5. Fractions with different denominators need compatible parts before their numerators can be added.
6/8 is equivalent to 3/4. This calculator automatically returns the simplified version.
5/0 is undefined. This calculator blocks the calculation rather than showing a broken result.
1 1/2 and 3/2 represent the same value, just written two different ways.
1/2 ÷ 3/4 does not have the same result as 3/4 ÷ 1/2 - order matters in division.
How to Use the Fraction Calculator
- Enter the numerator and denominator of the first fraction.
- Choose addition, subtraction, multiplication, or division.
- Enter the numerator and denominator of the second fraction.
- Select Calculate.
- Review the simplified fraction and other available result formats.
Frequently Asked Questions
What is a fraction?
A fraction represents a part of a whole, written as a numerator over a denominator - for example, 3/4 means 3 of 4 equal parts.
How do I add fractions?
Convert both fractions to a common denominator, then add the numerators - for example, 1/4 + 2/4 = 3/4. This calculator handles the conversion automatically even when denominators differ.
How do I subtract fractions?
Convert both fractions to a common denominator, then subtract the numerators - for example, 3/4 - 1/4 = 1/2.
How do I multiply fractions?
Multiply the numerators together and the denominators together - for example, 2/3 x 3/4 = 6/12, which simplifies to 1/2.
How do I divide fractions?
Multiply the first fraction by the reciprocal of the second - for example, 3/4 divided by 1/2 becomes 3/4 x 2/1 = 3/2, or 1 1/2.
How do I simplify a fraction?
Divide the numerator and denominator by their greatest common factor until no common factor remains besides 1 - for example, 6/8 simplifies to 3/4. This calculator does that automatically for every result.
What is an improper fraction?
An improper fraction has a numerator equal to or greater than its denominator, such as 7/4 - its value is 1 or greater.
What is a mixed number?
A mixed number combines a whole number with a fraction, such as 1 3/4, which represents the same value as the improper fraction 7/4.
How do I convert a fraction to a decimal?
Divide the numerator by the denominator - for example, 3/4 becomes 0.75.
Can a fraction have zero as its denominator?
No. A denominator of zero is undefined, since dividing by zero has no mathematical meaning. This calculator blocks that calculation and shows a message instead.
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Last updated: September 29, 2026.