Free Online Fraction Calculator
Enter two fractions, pick + − × ÷, and get a simplified answer in seconds. Use the examples below to practice or check homework.
How to Add Fractions
Formula: (a/b) + (c/d) = (ad + bc)/(bd)
Fraction calculator guide
This page handles all four basic operations. For addition and subtraction you need a common denominator first—the calculator does that for you and reduces the final fraction.
Results appear as an improper fraction and as a mixed number when the value is greater than 1. Negative numerators or denominators are allowed.
Worked examples
Real problems you might enter in the calculator above, with short walkthroughs.
Example 1: Adding Fractions with Different Denominators
Common denominator 6: 3/6 + 2/6 = 5/6.
Problem1/2 + 1/3Answer5/6 (or 0 5/6 as a mixed number)Subtract 3/4 − 1/6
LCD 12: 9/12 − 2/12 = 7/12.
Problem3/4 - 1/6Answer7/12Multiply 2/3 × 3/4
6/12 simplifies to 1/2.
Problem2/3 × 3/4Answer1/2Example 4: Dividing Fractions
Multiply by the reciprocal: 5/8 × 3/2 = 15/16.
Problem5/8 ÷ 2/3Answer15/16 (or 0 15/16 as a mixed number)
Frequently asked questions about the fraction Calculator
How do I add fractions with different denominators?
Find a common denominator (often the product of the two denominators), rewrite both fractions, then add the numerators. This calculator does those steps and simplifies the result.
What is an improper fraction vs a mixed number?
An improper fraction has a top number larger than the bottom (e.g. 7/4). A mixed number shows wholes plus a fraction (e.g. 1 3/4). We display both.
How do you divide fractions?
Multiply the first fraction by the reciprocal of the second—flip the second fraction and multiply across. The tool applies that rule automatically.
Can denominators be zero?
No. A denominator of zero is undefined. You will see an error if either denominator is 0, or if you divide by a fraction equal to zero.