Adding Fractions
Add fractions with different denominators. Step-by-step fraction addition calculator.
Add and subtract fractions with this calculator. Select the number of fractions, enter numerators and denominators, choose operators, and see the step-by-step solution.
Quick examples:
How to Use
- Enter the first fraction (numerator and denominator)
- Enter the second fraction
- Add more fractions if needed
- Click "Add Fractions" to see the sum with steps
What is Adding Fractions?
Adding fractions requires finding a common denominator first. Once all fractions have the same denominator, you simply add the numerators and keep the denominator. The result is then simplified to lowest terms.
Formula
To Add Fractions:
1. Find the LCD (Least Common Denominator)
2. Convert each fraction to equivalent fraction with LCD
3. Add the numerators, keep the denominator
4. Simplify the result
Examples
- 1/4 + 1/4 = 2/4 = 1/2 (same denominators)
- 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2
- 2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12
FAQ
Why do we need a common denominator?
You can only add fractions with the same denominator because the denominator tells you what 'size' the pieces are. 1/4 and 1/3 are different-sized pieces, so you need to convert them to the same size first.
What is the LCD?
The LCD (Least Common Denominator) is the smallest number that all denominators divide into evenly. It's the LCM of the denominators. Using the LCD keeps numbers smaller and simpler.
What if my answer is an improper fraction?
An improper fraction (numerator ≥ denominator) can be left as is or converted to a mixed number. For example, 7/4 = 1 3/4. Both forms are correct.