Fraction Calculator
This fraction calculator adds, subtracts, multiplies, and divides fractions or mixed numbers. Results are simplified with step-by-step solutions.
About Fraction Calculator
Working with fractions can be tedious when you need to find common denominators, cross-multiply, or simplify results by hand. This fraction calculator handles all four basic operations and walks you through the solution so you can verify the math or learn from it.
Supported Operations
Choose from addition, subtraction, multiplication, and division. Enter your two fractions using the numerator and denominator fields, pick an operator, and the result appears instantly. The answer is always reduced to its simplest form.
Mixed Number Support
Toggle mixed number mode to enter values like 2 3/4 or 5 1/2. The calculator converts mixed numbers to improper fractions before performing the operation, then displays the result as both an improper fraction and a mixed number when applicable.
Step-by-Step Solutions
Each calculation includes a breakdown of the steps involved. For addition and subtraction, you will see how the least common denominator is found and how each fraction is converted. For multiplication and division, the steps show cross-cancellation and the final simplification. This makes the tool useful for checking homework or understanding the process.
Visual Fraction Display
A simple bar graphic shows both input fractions and the result as filled segments, giving you a visual sense of each value's size. This can help build intuition about fraction relationships.
For percentage-based math, the Percentage Calculator handles common scenarios like finding a percent of a number or calculating percentage change. All calculations run entirely in your browser. Nothing is stored or transmitted to a server.
Frequently Asked Questions
How do I add fractions with different denominators?
To add fractions with different denominators, first find the least common denominator (LCD) of both fractions. Convert each fraction so they share that denominator, then add the numerators and keep the denominator. This calculator handles that process automatically and shows you each step.
What is a mixed number and how does the calculator handle it?
A mixed number combines a whole number with a fraction, such as 2 3/4. When you enable mixed number mode, you can enter the whole part separately. The calculator converts mixed numbers to improper fractions internally before performing the operation, then converts the result back if applicable.
How does the calculator simplify fractions?
The calculator finds the greatest common divisor (GCD) of the numerator and denominator using the Euclidean algorithm, then divides both by that value. For example, 6/8 simplifies to 3/4 because the GCD of 6 and 8 is 2.
Can I divide by a fraction that has zero in the numerator?
No. Dividing by zero is undefined in mathematics. If the second fraction has a numerator of zero (making it equal to zero), the calculator will show an error. The denominator of any fraction must also be non-zero.
What operations does this fraction calculator support?
The calculator supports all four basic arithmetic operations for fractions and mixed numbers. You can add (+), subtract (-), multiply (*), and divide (/) any two fractions. Each operation shows the step-by-step solution so you can follow the math.