Fraction Calculator
Add, subtract, multiply, divide fractions
About the Fraction Calculator
Fraction arithmetic trips up students and adults alike, because adding or dividing fractions means juggling common denominators and then simplifying. This calculator does all of it: pick an operation, enter two fractions, and it returns the answer fully simplified, as a mixed number, and as a decimal — with the steps shown.
It is a homework checker for students learning fractions and a quick utility for anyone scaling a recipe, splitting measurements, or working in trades where fractional inches are everyday. Because it shows the common-denominator step and the simplification, it teaches the method rather than just handing over a result.
How to Use the Fraction Calculator
- Choose an operation: add, subtract, multiply, or divide.
- Enter the numerator and denominator of the first fraction.
- Enter the numerator and denominator of the second fraction.
- Read the simplified result, its mixed-number form, and its decimal equivalent.
- Follow the step-by-step breakdown to see the common denominator and simplification.
Why Use ToolForge’s Fraction Calculator
- It returns three forms at once — a simplified fraction, a mixed number, and a decimal — so you have whichever you need.
- It reduces the answer to lowest terms automatically using the greatest common divisor, and shows that simplification step.
- The worked steps reveal the common-denominator process, making it a genuine learning aid rather than a black box.
- All arithmetic runs locally with no account required.
Frequently Asked Questions
How do you add fractions with different denominators?
You first rewrite both fractions over a common denominator, then add the numerators and keep that denominator, and finally simplify. This calculator finds the common denominator, performs the addition, and reduces the result, showing each step.
What is a mixed number?
A mixed number combines a whole number with a proper fraction, like 1¾ instead of the improper fraction 7/4. The calculator shows the mixed-number form alongside the simplified fraction so you can use whichever your work calls for.
How does the calculator simplify the result?
It divides both the numerator and denominator by their greatest common divisor, found with the Euclidean algorithm. That reduces the fraction to its lowest terms — for example, 6/8 becomes 3/4.
How do I divide one fraction by another?
You multiply the first fraction by the reciprocal (the flip) of the second: dividing by 2/3 is the same as multiplying by 3/2. Choose the divide operation and the calculator applies this rule and simplifies the result automatically.
