Fraction Calculator – Add, Subtract, Multiply & Divide Fractions
Use our free Fraction Calculator to add, subtract, multiply, and divide fractions, mixed numbers, and improper fractions. View simplified results, decimals, percentages, and step-by-step solutions instantly.
These education tools are provided for general convenience and informational purposes. While we strive to produce accurate results, we cannot guarantee that the output will be error-free or suitable for every use case. Please verify important results before using them in production or critical applications.
Our Fraction Calculator is a free online tool that helps you perform fraction calculations quickly and accurately. Whether you need to add, subtract, multiply, or divide fractions, this calculator instantly provides simplified results along with mixed numbers, improper fractions, decimal equivalents, and percentages. It supports proper fractions, improper fractions, mixed numbers, and large integer values, making it useful for students, teachers, engineers, and anyone working with mathematical calculations.
Simply enter the numerator and denominator for each fraction, choose the desired mathematical operation, and click the Calculate button. The calculator automatically finds the least common denominator (when required), simplifies the answer to its lowest terms, converts improper fractions into mixed numbers, and displays decimal and percentage equivalents. A detailed step-by-step solution is also provided to help you understand how the final answer is calculated.
Fractions are commonly used in mathematics, finance, construction, cooking, engineering, and everyday life. Instead of performing lengthy manual calculations, our Fraction Calculator saves time while ensuring accurate results. Whether you're solving homework problems, checking exam answers, measuring ingredients, or working with ratios and proportions, this calculator makes fraction operations simple and reliable.
Features of Our Fraction Calculator
- Add, subtract, multiply, and divide fractions.
- Supports proper, improper, and mixed fractions.
- Automatically simplifies fractions to the lowest terms.
- Converts improper fractions into mixed numbers.
- Displays decimal and percentage equivalents.
- Shows detailed step-by-step calculations.
- Handles large numerators and denominators.
- Responsive design for desktop, tablet, and mobile devices.
- 100% free with no registration required.
How to Use the Fraction Calculator
- Enter the numerator and denominator of the first fraction.
- Select the mathematical operation (+, −, ×, or ÷).
- Enter the second fraction.
- Click the Calculate button.
- View the simplified fraction, mixed number, decimal value, percentage, and step-by-step solution.
Supported Fraction Types
- Proper Fractions
- Improper Fractions
- Mixed Numbers
- Equivalent Fractions
- Simplified Fractions
Why Use This Fraction Calculator?
Our calculator is designed to provide fast, accurate, and easy-to-understand fraction calculations. Unlike basic calculators, it not only computes the answer but also explains each step of the solution. This makes it an excellent learning tool for students while also serving professionals who need precise fraction calculations in daily work.
Fraction Formulas
Understanding the basic formulas used in fraction calculations can help you solve mathematical problems more efficiently. Our Fraction Calculator automatically applies these formulas and simplifies the final answer to its lowest terms.
| Operation | Formula | Description |
|---|---|---|
| Addition | a/b + c/d = (ad + bc) / bd | Add the cross-products of the numerators and divide by the product of the denominators. |
| Subtraction | a/b − c/d = (ad − bc) / bd | Subtract the cross-products after converting to a common denominator. |
| Multiplication | a/b × c/d = (a × c) / (b × d) | Multiply the numerators together and the denominators together, then simplify. |
| Division | a/b ÷ c/d = (a × d) / (b × c) | Invert the second fraction (reciprocal) and multiply. |
| Decimal Conversion | Decimal = Numerator ÷ Denominator | Divide the numerator by the denominator to obtain the decimal value. |
| Percentage Conversion | Percentage = (Numerator ÷ Denominator) × 100 | Multiply the decimal value by 100 to convert a fraction into a percentage. |
| Reciprocal | a/b → b/a | The reciprocal is found by swapping the numerator and denominator. |
| Simplifying Fractions | a/b = (a ÷ GCD) / (b ÷ GCD) | Divide both the numerator and denominator by their Greatest Common Divisor (GCD). |
| Mixed Number | Whole = Numerator ÷ Denominator | Convert an improper fraction into a whole number and a remaining fraction. |
These formulas are the foundation of fraction arithmetic and are commonly taught in mathematics. Our calculator performs these calculations automatically, simplifies the result, and displays the equivalent mixed number, decimal, and percentage whenever applicable.