Fraction Addition Calculator

This free fraction addition calculator lets you instantly add two fractions and get the result in simplest form. It automatically finds a common denominator, adds the numerators, and simplifies the fraction.

Result will appear here.

Understanding Fraction Addition

Fractions represent parts of a whole. Adding fractions requires a common denominator so the parts are measured equally.

Example: 1/4 + 1/2

Step 1: Find common denominator → 4 and 2 → LCM = 4
Step 2: Adjust fractions → 1/4 + 2/4
Step 3: Add numerators → 1 + 2 = 3
Step 4: Result → 3/4

How the Calculator Works

The calculator automatically:

Step 1: Finds the least common multiple (LCM) of denominators

Step 2: Adjusts numerators to the common denominator

Step 3: Adds numerators

Step 4: Simplifies the resulting fraction using GCD

Step 5: Displays the result instantly

Examples

1. 2/3 + 1/6 → Common denominator 6 → 4/6 + 1/6 = 5/6

2. 3/4 + 5/8 → Common denominator 8 → 6/8 + 5/8 = 11/8 → 1 3/8

Why Fraction Addition Matters

Fraction addition is essential in mathematics, cooking, construction, finance, and science. Understanding how to add fractions accurately ensures correct measurements and calculations.

Common Mistakes to Avoid

One common mistake is adding denominators instead of finding a common denominator.

Another mistake is forgetting to simplify the resulting fraction.

Important: Never add denominators directly.

Correct: Always find a common denominator first.

Frequently Asked Questions

Can fractions have different denominators?

Yes. The calculator automatically finds a common denominator before adding.

Can I add mixed fractions?

Yes. Convert mixed fractions to improper fractions before using the calculator.

Does it simplify automatically?

Yes. The result is always shown in its simplest form.

Conclusion

Adding fractions is fundamental for math and practical applications. This fraction addition calculator provides fast, accurate results with step-by-step simplification.

Use it for homework, recipes, measurements, or any situation requiring accurate fraction addition.