Fraction Calculator

Add, subtract, multiply, and divide fractions

First Fraction

Operation

Second Fraction

Fraction Operation Rules

Addition: a/b + c/d

= (ad + bc) / (bd)

Find common denominator and add numerators

Subtraction: a/b − c/d

= (ad − bc) / (bd)

Find common denominator and subtract numerators

Multiplication: a/b × c/d

= (a × c) / (b × d)

Multiply numerators and denominators directly

Division: a/b ÷ c/d

= (a × d) / (b × c)

Multiply by the reciprocal (flip second fraction)

Examples

Example 1: 1/2 + 1/4

= (1×4 + 1×2) / (2×4) = (4 + 2) / 8 = 6/8

= 3/4 (simplified)

Example 2: 3/4 − 1/3

= (3×3 − 1×4) / (4×3) = (9 − 4) / 12 = 5/12

= 5/12

Example 3: 2/3 × 3/4

= (2×3) / (3×4) = 6/12

= 1/2 (simplified)

Example 4: 1/2 ÷ 1/4

= 1/2 × 4/1 = 4/2

= 2

About Fraction Operations

Fractions represent parts of a whole. This calculator handles all four basic operations: addition, subtraction, multiplication, and division, automatically simplifying the results.

Key Concepts

Numerator: Top number (how many parts you have)
Denominator: Bottom number (total parts in the whole)
Simplifying: Reducing to lowest terms by dividing by GCD
Mixed Number: Whole number plus a fraction (2 1/4)
Improper Fraction: Numerator larger than denominator (9/4)

Tips

Always simplify your final answer to lowest terms
For division, remember: "flip and multiply" (multiply by reciprocal)
Adding/subtracting needs common denominator, but multiplying doesn't
Check your work by converting to decimals

How to Use This Calculator
1
Enter Your Values
Input the required values in the calculator fields above. Make sure all inputs are valid numbers.
2
Click Calculate
Press the "Calculate" button to perform the calculation and see your results.
3
Review Results
Review the calculated results displayed below. Use these values for your needs.
Formula
Formula will be calculated based on the inputs provided.
Example:
Example: Enter your values above and click Calculate to see the formula in action.
About Fraction Calculator
The Fraction Calculator is a useful tool for calculating fraction values. This calculator helps you quickly and accurately determine the results you need for your calculations.
When to Use This Calculator
Quick Calculations: Get instant results without manual computation
Accuracy: Ensure precise calculations every time
Planning: Use for project planning and estimation
Verification: Double-check your manual calculations
Why Use Our Calculator?
✅ Instant Results: Get accurate calculations immediately
✅ Easy to Use: Simple interface for all skill levels
✅ 100% Free: No registration or payment required
✅ Mobile Friendly: Works on all devices
✅ Accurate: Precise mathematical calculations
Tips for Best Results
Double-Check Inputs: Verify all values before calculating
Use Valid Numbers: Ensure inputs are valid numbers
Review Results: Check results for reasonableness
Clear and Retry: Clear inputs if you need to recalculate
Frequently Asked Questions

How do I add fractions with different denominators?

Find a common denominator (multiply denominators works, though LCD is better). Convert both fractions, then add numerators.

Why do I multiply by the reciprocal when dividing?

Dividing by a fraction is the same as multiplying by its reciprocal. For example: 1/2 ÷ 1/4 = 1/2 × 4/1 = 2.

What does it mean to simplify a fraction?

Simplifying means reducing to lowest terms by dividing both numerator and denominator by their greatest common divisor (GCD). Example: 6/8 = 3/4.

Can I multiply fractions without finding a common denominator?

Yes! Unlike addition/subtraction, multiplication is simple: just multiply numerators together and denominators together.

How do I convert an improper fraction to a mixed number?

Divide numerator by denominator. The quotient is the whole number, the remainder is the new numerator. Example: 7/4 = 1 3/4.