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Adding Fractions Calculator

This calculator allows you to easily add two or more fractions with the same or different denominators. It automatically finds the least common denominator (LCD), converts fractions, adds them together, and simplifies the result. Perfect for students, teachers, and anyone who needs accurate fraction addition.

Add Fractions Tool

Input Fields
1 fraction
n
d
2 fraction
n
d
If enabled, the result will update automatically when you change any value.

Formula for Adding Fractions

Formula
$$\frac{a}{b} + \frac{c}{d} = \frac{a \cdot d + b \cdot c}{b \cdot d}$$

To add two fractions:

  1. Multiply each numerator by the other fraction’s denominator.
  2. Multiply the denominators to get a common denominator.
  3. Add the new numerators.
  4. Simplify the resulting fraction.

Adding Fractions – Calculation Example

Example: 2/3 + 3/4

1 Find the least common denominator (LCD) β†’ 12
2. Convert:
 2.1. 2/3 = 8/12
 2.2 3/4 = 9/12
3. Add: 8 + 9 = 17 β†’ 17/12
4. Simplify (optional): 1 5/12

Adding fractions is a key part of basic arithmetic, frequently used in math education and everyday life. This tool supports both proper and improper fractions, and it simplifies results to their lowest terms. Whether you’re calculating recipe ingredients or solving math problems, this calculator saves time and reduces errors.

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Fraction Calculator

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