Add, subtract, multiply, or divide fractions with step-by-step results.
A simple guide to understanding fractions, how they work, and how to perform common fraction calculations.
A fraction represents a part of a whole. It consists of a numerator, which shows how many parts are being considered, and a denominator, which shows how many equal parts make up the whole. For example, in 3/4, 3 is the numerator and 4 is the denominator.
Fractions can be added, subtracted, multiplied, and divided. Addition and subtraction usually require a common denominator, while multiplication multiplies the numerators and denominators directly. Division is performed by multiplying by the reciprocal of the second fraction.
1/2 + 1/4 = 3/4
Simplifying a fraction reduces it to its smallest equivalent form by dividing the numerator and denominator by their greatest common divisor. This makes results easier to read, compare, and use in future calculations. For example, 6/8 simplifies to 3/4.
Calculate fractions online with simplified answers, decimal values, mixed numbers, and clear step-by-step solutions.
Calculating fractions by hand can become difficult when the fractions have different denominators, need to be simplified, or involve multiplication and division. This free online fraction calculator helps you add, subtract, multiply, and divide fractions quickly while showing how the calculation works.
Enter the numerator and denominator of each fraction, choose an operation, and the calculator will automatically reduce the answer to its simplest form. You can also view the result as a decimal and, when appropriate, as a mixed number.
Perform all four basic fraction operations in one place, including fractions with different denominators and negative values.
See how the answer is calculated, including common denominators, equivalent fractions, reciprocals, multiplication, and simplification.
Fraction answers are automatically reduced to lowest terms using the greatest common divisor, giving you a clean simplified result.
View the calculated answer as a simplified fraction, decimal value, and mixed number when the result is an improper fraction.
Calculate fractions on smartphones, tablets, laptops, and desktop computers with a responsive interface designed for different screen sizes.
The fraction values you enter are processed directly by the calculator in your browser, without submitting those calculation values to a server.
Fraction calculations follow different rules depending on whether you are adding, subtracting, multiplying, or dividing. Understanding these rules can help you check your answers and understand the step-by-step solution produced by the calculator.
To add fractions with the same denominator, add the numerators and keep the denominator unchanged. If the denominators are different, first find a common denominator and rewrite the fractions as equivalent fractions.
Subtracting fractions follows the same denominator rule as addition. Find a common denominator when necessary, convert both fractions, and then subtract the second numerator from the first.
To multiply fractions, multiply the numerators together and multiply the denominators together. The resulting fraction can then be reduced to its simplest form if the numerator and denominator share a common factor.
To divide one fraction by another, take the reciprocal of the second fraction and multiply. Taking the reciprocal means switching its numerator and denominator.
A fraction is in simplest form when its numerator and denominator have no common factor greater than 1. One way to simplify a fraction is to find the greatest common divisor (GCD) and divide both the numerator and denominator by that number.
For example, the greatest common divisor of 18 and 24 is 6. Dividing both numbers by 6 changes 18/24 into the equivalent simplified fraction 3/4.
An improper fraction has a numerator that is greater than or equal to its denominator. It can often be expressed as a mixed number containing a whole number and a proper fraction.
For example, 11/4 can be written as 2 3/4. The calculator displays the mixed-number form automatically when applicable.
A common denominator is a shared denominator used when adding or subtracting fractions. One efficient approach is to use the least common multiple (LCM) of the two denominators. This creates equivalent fractions that represent the same values but can be added or subtracted directly.
For example, when adding 1/4 + 1/6, the least common multiple of 4 and 6 is 12. The fractions become 3/12 + 2/12, producing the answer 5/12.
Whether you are checking a homework problem, reviewing fraction arithmetic, working with measurements, or simply need a quick fraction calculation, this tool provides both the answer and the mathematical steps behind it. The step-by-step format can also help you identify where common denominators, reciprocals, and fraction simplification are used.
You can use the calculator for proper fractions, improper fractions, negative fractions, and results that convert to whole or mixed numbers. For each calculation, the final fraction is reduced to lowest terms whenever simplification is possible.
Got questions about the Fraction Calculator? Find quick answers below.
Yes, our Fraction Calculator tool is 100% free to use on UtilityGlen with no hidden fees, subscriptions, or usage limits required.
No, your data never leaves your browser. All generation and calculations are executed locally on your device for total privacy.
Yes, our Fraction Calculator tool is fully responsive and optimized to work seamlessly on smartphones, tablets, and desktop browsers alike.
Handy web tools for daily use. Everything runs right in your browser—no sign-ups, no cloud uploads, and your data stays entirely on your device.