Adding Fractions Calculator

Adding Fractions Calculator – With Step-by-Step Solutions

This fraction calculator handles addition, subtraction, multiplication, and division of any two fractions. It shows the step-by-step work so you can understand the process, not just the answer.

How to Add Fractions

To add fractions, you need a common denominator:

1. Find the Least Common Denominator (LCD) of both denominators.
2. Convert each fraction to have the LCD as its denominator.
3. Add the numerators together, keeping the denominator.
4. Simplify the resulting fraction by dividing by the GCD.

Example: 1/3 + 1/4 → LCD = 12 → 4/12 + 3/12 = 7/12

How to Subtract Fractions

Same process as addition — find the LCD, convert, then subtract numerators: 3/4 − 1/3 → LCD = 12 → 9/12 − 4/12 = 5/12

How to Multiply Fractions

Multiply numerators together and denominators together, then simplify: 2/3 × 3/4 = 6/12 = 1/2

How to Divide Fractions

Flip the second fraction (take its reciprocal) and multiply: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6