Fraction Calculator

Three tools in one: fraction arithmetic with mixed numbers, a standalone fraction simplifier, and a decimal-to-fraction converter.

➗ Fraction Arithmetic

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🔻 Fraction Simplifier

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🔄 Decimal to Fraction Converter

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What is a Fraction Calculator?

A Fraction Calculator is an online math tool that helps you quickly and accurately perform arithmetic operations with fractions. Instead of manually converting fractions to a common denominator or simplifying them by hand, this calculator automates the process. It supports addition, subtraction, multiplication, and division of fractions — including mixed numbers — and instantly gives results in both fractional and decimal form. Two extra tools on this page also let you simplify a single fraction on its own, or convert a decimal straight into a fraction.

Fraction Operation Formulas

Every fraction operation reduces to one of four rules:

Reference sheet of the four fraction formulas: add/subtract by cross-multiplying to a common denominator, multiply straight across, divide by the reciprocal, simplify by dividing by the greatest common divisor
The four rules behind every fraction calculation.

Worked Examples

Addition: 1/2 + 3/4 = 5/4 = 1.25

Diagram showing 1/2 plus 3/4 equals 5/4, which is 1 and 1/4, or 1.25
Adding fractions with different denominators.

Multiplication: 2/3 × 3/5 = 6/15 = 2/5 = 0.4

Diagram showing 2/3 times 3/5 equals 6/15, which simplifies to 2/5, or 0.4
Multiplying fractions straight across, then simplifying.

Subtraction: 5/6 − 1/3 = 3/6 = 1/2 = 0.5

Diagram showing 5/6 minus 1/3 equals 3/6, which simplifies to 1/2, or 0.5
Subtracting fractions with a common denominator of 6.

Working With Mixed Numbers

A mixed number like 2¾ combines a whole number and a fraction. Before any arithmetic happens, this calculator's whole-number fields convert each mixed number into an improper fraction automatically:

Diagram showing 2 and 3/4 converts to the improper fraction 11/4 by multiplying the whole number by the denominator and adding the numerator
Whole × denominator + numerator, all over the same denominator.

Leave the "Whole" field blank (or at 0) if you're working with a simple fraction instead of a mixed number.

Converting Between Decimals and Fractions

Some decimals convert to fractions exactly — others repeat forever and can only be approximated. The Decimal to Fraction Converter above handles terminating decimals precisely by reading the digits after the decimal point directly:

Reference table of common decimal to fraction equivalents: 0.5 equals 1/2, 0.25 equals 1/4, 0.75 equals 3/4, 0.2 equals 1/5, 0.125 equals 1/8, 0.333 repeating approximately equals 1/3
Some of the most common decimal-fraction pairs, worth memorizing.

Why Use an Online Fraction Calculator?

Working with fractions can sometimes be time-consuming and confusing, especially when the numbers get larger. Here's why an online fraction calculator is useful:

  • Accuracy: Eliminate human errors in calculations.
  • Speed: Get instant solutions without manual steps.
  • Learning Aid: Great for students learning how to simplify fractions or work with mixed numbers.
  • Convenience: Works on mobile, desktop, and tablets—anytime, anywhere.

How to Use Each Tool

  1. Fraction Arithmetic: Enter each fraction's numerator and denominator (plus a whole number for mixed numbers), pick an operation, and click Calculate.
  2. Fraction Simplifier: Enter any numerator and denominator and click Simplify to reduce it to lowest terms.
  3. Decimal to Fraction: Enter a decimal like 0.625 and click Convert to get its fraction form.

Benefits for Students, Teachers, and Professionals

This tool is ideal for:

  • Students: Practice and verify homework problems, including mixed-number arithmetic.
  • Teachers: Demonstrate fraction operations and decimal conversions in class.
  • Professionals: Quickly handle fractional calculations in fields like construction, engineering, and finance, where measurements are often in fractions of an inch.

Conclusion

The Fraction Calculator is a powerful, free, and easy-to-use tool that saves time and ensures accuracy in solving fraction problems — mixed numbers, simplifying, and decimal conversion included. Whether you're a student working on math homework, a teacher preparing lessons, or a professional needing quick results, this calculator is the complete solution.

👉 Try the Fraction Calculator above and make solving fractions simple, fast, and accurate!

Frequently Asked Questions

What is a Fraction Calculator?

A Fraction Calculator is an online tool that helps you add, subtract, multiply, and divide fractions quickly. It also supports mixed numbers and provides simplified fraction results and decimal equivalents.

How do I use the Fraction Calculator?

Enter the numerator and denominator of two fractions (with an optional whole number for mixed numbers), select the operation, and click Calculate. The result appears as a simplified fraction and a decimal.

Does this calculator support mixed numbers?

Yes. Enter a whole number alongside each fraction (e.g., 2 and 3/4) and the calculator converts it to an improper fraction automatically before calculating.

Can I simplify a single fraction without doing arithmetic?

Yes. Use the standalone Fraction Simplifier tool on this page — enter one fraction and it reduces it to lowest terms and shows the decimal equivalent.

Can I convert a decimal to a fraction?

Yes. Use the Decimal to Fraction Converter tool on this page. It works exactly for terminating decimals like 0.75 or 0.125; repeating decimals are shown as an approximation.

Is the Fraction Calculator free to use?

Yes, all three tools on this page are completely free and work on desktop, mobile, and tablet devices.